Conversion tables between the 1991 and 2000 versions of the Mathematics Subject Classification (MSC)

Items appearing in the 2000a (January) and later issues of Mathematical Reviews and in the 2000:01 and later issues of Current Mathematical Publications are classified using MSC2000, which is a revision of the 1991 MSC. The great majority of the over 5000 classification codes in the 1991 MSC remain valid in MSC2000. However, over 400 classification codes from the 1991 MSC do not appear in MSC2000 and there are over 1000 new codes in MSC2000.

To help users of the MSC, the editors of Mathematical Reviews have constructed conversion tables. One table gives for each 1991 code that does not appear in MSC2000 the code(s) in MSC2000 that are most likely to be used for items that would previously have been classified using the code that is now invalid. The other table gives for each new code in MSC2000 the codes in the 1991 MSC that are most likely to have been used earlier for items classified using the new code. The description associated with each code can be found by clicking on 1991 MSC or MSC2000, as appropriate.

Conversion table from old 1991 classification codes that are now invalid to MSC2000 codes.

New MSC2000 classifications --> 1991 MSC classifications

New MSC20001991 MSC
00A17 External book reviews00A99
New MSC20001991 MSC
01A61 Twenty-first century01A65, 01A67
01A85 Historiography01A99
01A90 Bibliographic studies01A99
New MSC20001991 MSC
03B42 Logic of knowledge and belief03B45
03B44 Temporal logic03B45
03B47 Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) 03B46, 03F50
03C64 Model theory of ordered structures; o-minimality03C40, 03C45, 03C50, 03C60
03C98 Applications of model theory 03C99
03D28 Other Turing degree structures03D30
03E02 Partition relations03E05, 03E10, 04A10, 04A20
03E04 Ordered sets and their cofinalities; pcf theory03E05, 03E10, 04A10, 04A20
03E17 Cardinal characteristics of the continuum03E05, 03E10, 03E15, 04A10, 04A15, 04A20
03F45 Provability logics and related algebras (e.g., diagonalizable algebras) 03B45, 03F40
03F52 Linear logic and other substructural logics 03F50
New MSC20001991 MSC
05C07 Degree sequences05C99
05C17 Perfect graphs05C15, 05C60
05C22 Signed, gain and biased graphs05C75, 05C99
05C62 Graph representations (geometric and intersection representations, etc.)05C75
05C69 Dominating sets, independent sets, cliques05C35, 05C70
05C83 Graph minors05C99
05D40 Probabilistic methods05A16
New MSC20001991 MSC
06A11 Algebraic aspects of posets 06A08, 06A09
06B23 Complete lattices, completions06A23
06D22 Frames, locales 06D10, 06D20, 06D99
06D35 MV-algebras06D30
06D50 Lattices and duality06D05
06D72 Fuzzy lattices (soft algebras) and related topics06D30
06F07 Quantales06F05
New MSC20001991 MSC
08A68 Heterogeneous algebras08A55
08A72 Fuzzy algebraic structures03E72
New MSC20001991 MSC
11D45 Counting solutions of Diophantine equations11N45, 11D
11D59 Thue-Mahler equations11D57
11F23 Relations with algebraic geometry and topology14-XX, 57-XX
11F50 Jacobi forms11F55
11F52 Modular forms associated to Drinfel\cprime d modules11G09, 11F11
11G50 Heights 11G35
11G55 Polylogarithms and relations with $K$-theory19F27, 11R42, 14G10
11H71 Relations with coding theory11T71
11J93 Transcendence theory of Drinfel\cprime d and $t$-modules11G09, 11J99
11J95 Results involving abelian varieties11G10
11J97 Analogues of methods in Nevanlinna theory (work of Vojta et al.)11J99
11M38 Zeta and $L$-functions in characteristic $p$11M41
11P70 Inverse problems of additive number theory11B75
11R60 Cyclotomic function fields (class groups, Bernoulli objects, etc.)11R58
11S90 Prehomogeneous vector spaces11M41, 11S40
11T60 Finite upper half-planes11F99
New MSC20001991 MSC
12E30 Field arithmetic12E25, 12F12
New MSC20001991 MSC
13D07 Homological functors on modules (Tor, Ext, etc.)13D02, 13D05
13D22 Homological conjectures (intersection theorems)13D03, 13H15
13F55 Face and Stanley-Reisner rings; simplicial complexes 13F50
13J30 Real algebra 12D15, 14P99
13N15 Derivations13B10
New MSC20001991 MSC
14B25 Local structure of morphisms: \'etale, flat, etc. 14E40
14D06 Fibrations, degenerations14H99, 14J99
14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)14D20
14E08 Rationality questions14G05, 14M20
14F22 Brauer groups of schemes 13A20
14F42 Motivic cohomology14F99
14F43 Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)14F32, 14F99
14G22 Rigid analytic geometry14G20
14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)14D20, 14H30, 20E18
14G50 Applications to coding theory and cryptography 94B27
14H37 Automorphisms14E09
14H51 Special divisors (gonality, Brill-Noether theory)14C20
14H70 Relationships with integrable systems14H99
14H81 Relationships with physics14H99
14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)14J99
14J81 Relationships with physics14J99
14K12 Subvarieties14K05
14L24 Geometric invariant theory 14D25
14N15 Classical problems, Schubert calculus14M15
14N20 Configurations of linear subspaces14N05
14N25 Varieties of low degree14N05
14N30 Adjunction problems14C20
14N35 Gromov-Witten invariants, quantum cohomology 14N10
14RXX Affine geometry14Jxx
14R05 Classification of affine varieties14J99
14R10 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)14E09, 14E25
14R15 Jacobian problem14E09
14R20 Group actions on affine varieties 14L30
14R25 Affine fibrations 14D99
14R99 None of the above, but in this section14J99
New MSC20001991 MSC
15A29 Inverse problems05A18
New MSC20001991 MSC
16E05 Syzygies, resolutions, complexes16E10
16E45 Differential graded algebras and applications16E99
16E65 Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)16E99
16K50 Brauer groups 13A20
16S37 Quadratic and Koszul algebras16S99
16S38 Rings arising from non-commutative algebraic geometry16S99
16W22 Actions of groups and semigroups; invariant theory16W20
16W35 Ring-theoretic aspects of quantum groups 16W30
16W70 Filtered rings; filtrational and graded techniques16W60
16Z05 Computational aspects of associative rings 16-04
New MSC20001991 MSC
17A32 Leibniz algebras17A30
17B62 Lie bialgebras17B99
17B63 Poisson algebras17B99
17B75 Color Lie (super)algebras17B70
17B80 Applications to integrable systems17B99
New MSC20001991 MSC
18C30 Sketches and generalizations18C10
18C35 Accessible and locally presentable categories18C10, 18B99
18C50 Categorical semantics of formal languages 18C10, 18B99
18D50 Operads 18D10, 55U35, 18C15, 18G99
New MSC20001991 MSC
20C08 Hecke algebras and their representations20C99
20E45 Conjugacy classes20E99
20F65 Geometric group theory 20F32
20F67 Hyperbolic groups and nonpositively curved groups20F32
20F69 Asymptotic properties of groups20F32
20G42 Quantum groups (quantized function algebras) and their representations 16W30, 17B37
New MSC20001991 MSC
22FXX Noncompact transformation groups22Axx, 57S20
22F05 General theory of group and pseudogroup actions 22A99, 57S20
22F10 Measurable group actions 22D40, 28Dxx
22F30 Homogeneous spaces 57M60, 57Sxx, 22E40
22F50 Groups as automorphisms of other structures22Axx, 46Lxx
New MSC20001991 MSC
26E60 Means 26A24, 26D15
New MSC20001991 MSC
32A12 Multifunctions32A99
32A18 Bloch functions, normal functions32A37
32A19 Normal families of functions, mappings32A17
32A26 Integral representations, constructed kernels (e.g. Cauchy, Fantappi\`e-type kernels)32A25
32A36 Bergman spaces32A37
32A38 Algebras of holomorphic functions 32E25
32A50 Harmonic analysis of several complex variables 32A99
32A55 Singular integrals32A99
32A60 Zero sets of holomorphic functions32A10
32A65 Banach algebra techniques 32E25, 32E99
32A70 Functional analysis techniques 32A99
New MSC20001991 MSC
32C09 Embedding of real analytic manifolds32F25
32C22 Embedding of analytic spaces32C18, 32C20, 32C25
32C55 The Levi problem in complex spaces; generalizations32E99
New MSC20001991 MSC
32D26 Riemann domains32D05
New MSC20001991 MSC
32E40 The Levi problem32E99
32F17 Other notions of convexity32F99, 32E99
32F18 Finite-type conditions32F99
32F27 Topological consequences of geometric convexity32F99
32F32 Analytical consequences of geometric convexity (vanishing theorems, etc.)32F99, 32L20, 32L15
32F45 Invariant metrics and pseudodistances32H15
New MSC20001991 MSC
32H12 Boundary uniqueness of mappings32H40
New MSC20001991 MSC
32M17 Automorphism groups of ${\bf C}^n$ and affine manifolds32M05
32M25 Complex vector fields32S65
New MSC20001991 MSC
32QXX Complex manifolds
32Q05 Negative curvature manifolds32C10
32Q10 Positive curvature manifolds32C10
32Q15 K\"ahler manifolds32C17, 32J27
32Q20 K\"ahler-Einstein manifolds 53C25, 32L07
32Q25 Calabi-Yau theory32J17, 32J18, 14J32
32Q28 Stein manifolds32E10
32Q30 Uniformization32C10
32Q35 Complex manifolds as subdomains of Euclidean space32C10
32Q40 Embedding theorems32C10
32Q45 Hyperbolic and Kobayashi hyperbolic manifolds32H20
32Q55 Topological aspects of complex manifolds32C10
32Q57 Classification theorems32C10, 32J15, 32J17, 32J18
32Q60 Almost complex manifolds53C15
32Q65 Pseudoholomorphic curves58D10
32Q99 None of the above, but in this section
New MSC20001991 MSC
32S22 Relations with arrangements of hyperplanes 52B30, 32S20
32S99 None of the above, but in this section32S70
New MSC20001991 MSC
32TXX Pseudoconvex domains
32T05 Domains of holomorphy32D05
32T15 Strongly pseudoconvex domains32F15
32T20 Worm domains32F15
32T25 Finite type domains32F15
32T27 Geometric and analytic invariants on weakly pseudoconvex boundaries32F15
32T35 Exhaustion functions32F15
32T40 Peak functions32E25
32T99 None of the above, but in this section
New MSC20001991 MSC
32UXX Pluripotential theory
32U05 Plurisubharmonic functions and generalizations 32F05
32U10 Plurisubharmonic exhaustion functions32F05
32U15 General pluripotential theory32F05
32U20 Capacity theory and generalizations31B15, 31C15, 32F99
32U25 Lelong numbers32F05
32U30 Removable sets32F99, 32D20
32U35 Pluricomplex Green functions32F05
32U40 Currents32C30
32U99 None of the above, but in this section
New MSC20001991 MSC
32VXX CR Manifolds
32V05 CR structures, CR operators, and generalizations32C16
32V10 CR functions32C16
32V15 CR manifolds as boundaries of domains32C16
32V20 Analysis on CR manifolds32C16
32V25 Extension of functions and other analytic objects from CR manifolds32C16, 32D15
32V30 Embeddings of CR manifolds32C16
32V35 Finite type conditions on CR manifolds32C16
32V40 Real submanifolds in complex manifolds32F25
32V99 None of the above, but in this section
New MSC20001991 MSC
32WXX Differential operators in several variables
32W05 $\overline\partial$ and $\overline\partial$-Neumann operators32F20, 35N15
32W10 $\overline\partial_b$ and $\overline\partial_b$-Neumann operators32F20, 35N15
32W20 Complex Monge-Amp\`ere operators32F07, 35J99
32W25 Pseudodifferential operators in several complex variables35S05
32W30 Heat kernels in several complex variables58G11, 35K99
32W50 Other partial differential equations of complex analysis35A20
32W99 None of the above, but in this section
New MSC20001991 MSC
33B30 Higher logarithm functions33B99, 33E20
33C47 Other special orthogonal polynomials and functions33C45
33C52 Orthogonal polynomials and functions associated with root systems33C50, 33C80
33C67 Hypergeometric functions associated with root systems33C70, 33C80
33D50 Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable33D45
33D52 Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)33D80
33D67 Basic hypergeometric functions associated with root systems33D80
33E12 Mittag-Leffler functions and generalizations33E15
33E17 Painlev\'e-type functions33E30
33E50 Special functions in characteristic $p$ (gamma functions, etc.)33E99
33FXX Computational aspects33-04
33F05 Numerical approximation 33-04
33F10 Symbolic computation (Gosper and Zeilberger algorithms, etc.) 33C99, 33Cxx, 68W30
33F99 None of the above, but in this section33-04
New MSC20001991 MSC
34A36 Discontinuous equations34A99
New MSC20001991 MSC
34B07 Linear boundary value problems with nonlinear dependence on the spectral parameter34B05, 34B99
34B08 Multi-parameter boundary value problems34B05, 34B99
34B09 Boundary value problems with an indefinite weight34B05, 34B99
34B16 Singular nonlinear boundary value problems34B15, 34B99
34B18 Positive solutions of nonlinear boundary value problems34B15
34B37 Boundary value problems with impulses34A37, 34B05, 34B15, 34B99
34B40 Boundary value problems on infinite intervals34B05, 34B15, 34B99
34B45 Boundary value problems on graphs and networks34B05, 34B99
34B60 Applications34B99
New MSC20001991 MSC
34C07 Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)34C05, 58F21
34C08 Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)14P99, 34C05, 58F21
34C12 Monotone systems34C35, 34C99
34C14 Symmetries, invariants34A26, 34C99, 58F35
34C26 Relaxation oscillations34C15, 34C99, 34E99
34C41 Equivalence, asymptotic equivalence34C99, 34E99
34C55 Hysteresis34C99, 47H30
34C60 Applications34C99, 58F40
New MSC20001991 MSC
34D09 Dichotomy, trichotomy34C11, 34D99
34D23 Global stability34D99, 58F12
New MSC20001991 MSC
34E13 Multiple scale methods34E99
34E18 Methods of nonstandard analysis03H05, 34E99
New MSC20001991 MSC
34G25 Evolution inclusions34A60, 34G20
New MSC20001991 MSC
34K06 Linear functional-differential equations34K05
34K07 Theoretical approximation of solutions34A45, 34K05, 34K99
34K11 Oscillation theory34C10, 34K15
34K12 Growth, boundedness, comparison of solutions34C11, 34K15
34K13 Periodic solutions34C25, 34K15, 58F22
34K14 Almost periodic solutions34C27, 34K15
34K17 Transformation and reduction of equations and systems, normal forms34A25, 34C20, 34K15, 58F36
34K18 Bifurcation theory34C23, 34K15, 58F14
34K19 Invariant manifolds34C30, 34K15, 58F99
34K23 Complex (chaotic) behavior of solutions34D45, 34K15, 58F13
34K26 Singular perturbations34E15, 34K05, 34K99
34K28 Numerical approximation of solutions34A45, 34K99, 65Lxx
34K29 Inverse problems34A55, 34K99
34K45 Equations with impulses34A37, 34K99
34K60 Applications34K99
New MSC20001991 MSC
34L16 Numerical approximation of eigenvalues and of other parts of the spectrum34L99, 65L99
New MSC20001991 MSC
34MXX Differential equations in the complex domain 30D99, 32G34, 34A20
34M05 Entire and meromorphic solutions30D99, 34A20
34M10 Oscillation, growth of solutions30D99, 34A20
34M15 Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)34A20
34M20 Nonanalytic aspects34A20
34M25 Formal solutions, transform techniques34A20
34M30 Asymptotics, summation methods30E15, 34A20, 34E05, 34E99
34M35 Singularities, monodromy, local behavior of solutions, normal forms32G34, 32S65, 32S99, 34A20
34M37 Resurgence phenomena34A20, 34E99
34M40 Stokes phenomena and connection problems (linear and nonlinear)34A20
34M45 Differential equations on complex manifolds34A20
34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.)30E99, 34A20
34M55 Painlev\'e and other special equations; classification, hierarchies; isomonodromic deformations32G34, 34A20, 34A34
34M60 Singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent) 34A20, 34E20
34M99 None of the above, but in this section34A20
New MSC20001991 MSC
35A17 Parametrices35A99
35A18 Wave front sets35A99
35A21 Propagation of singularities35A20, 35A21
35B33 Critical exponents35B99
35B34 Resonances35B99
35B38 Critical points35B99, 58E05
35B41 Attractors35B99, 58F12
35B42 Inertial manifolds35B99
35HXX Close-to-elliptic equations35H05
35H10 Hypoelliptic equations35H05
35H20 Subelliptic equations35H05
35H30 Quasi-elliptic equations35H05
35H99 None of the above, but in this section35H05
35K90 Abstract parabolic evolution equations35K22, 35K99, 34Gxx, 35R20
35L82 Pseudohyperbolic equations35L99
35L90 Abstract hyperbolic evolution equations35L99, 34Gxx, 35R20
35R12 Impulsive partial differential equations35R10, 35R99
New MSC20001991 MSC
37-XX Dynamical systems and ergodic theory 28Dxx, 34Cxx, 39-XX, 35Bxx, 54H20, 58Fxx, 70-XX
37-00 General reference works (handbooks, dictionaries, bibliographies, etc.)28-00, 34-00, 39-00, 54H20, 58-00
37-01 Instructional exposition (textbooks, tutorial papers, etc.)28-01, 34-01, 39-01, 58-01
37-02 Research exposition (monographs, survey articles)28-02, 34-02, 39-02, 58-00
37-03 Historical (must also be assigned at least one classification number from Section 01)28-03, 34-03, 39-03, 58-03
37-04 Explicit machine computation and programs (not the theory of computation or programming)28-04, 34-04, 39-04, 58-04
37-06 Proceedings, conferences, collections, etc.28-06, 34-06, 39-06, 58-06
New MSC20001991 MSC
37AXX Ergodic theory 22D40, 28Dxx, 47A35, 58F11
37A05 Measure-preserving transformations28D05
37A10 One-parameter continuous families of measure-preserving transformations28D10
37A15 General groups of measure-preserving transformations 22D40, 28D15, 58F11
37A17 Homogeneous flows 22D40, 28D99, 58F11
37A20 Orbit equivalence, cocycles, ergodic equivalence relations28D05, 28D10, 28D15
37A25 Ergodicity, mixing, rates of mixing28D05, 58F11, 60F99
37A30 Ergodic theorems, spectral theory, Markov operators 28D05, 28D10, 28D15, 47A35, 58F11
37A35 Entropy and other invariants, isomorphism, classification28D20, 47A35, 58F11
37A40 Nonsingular (and infinite-measure preserving) transformations28D05
37A45 Relations with number theory and harmonic analysis 28D99, 11Kxx
37A50 Relations with probability theory and stochastic processes 60F05, 60F15, 60F20
37A55 Relations with the theory of $C^*$-algebras 28D99, 46L55
37A60 Dynamical systems in statistical mechanics 28D99, 82Cxx
37A99 None of the above, but in this section28D99
New MSC20001991 MSC
37BXX Topological dynamics 54H20, 58F99
37B05 Transformations and group actions with special properties (minimality, distality, proximality, etc.)54H15
37B10 Symbolic dynamics 28D99, 54H20, 58F03, 58F99
37B15 Cellular automata54H20, 58F08, 68Q80
37B20 Notions of recurrence34C35, 54H20, 58F99
37B25 Lyapunov functions and stability; attractors, repellers34C35, 34D20, 34D45, 54H20 58F10, 58F12
37B30 Index theory, Morse-Conley indices34C35, 55M99, 57R99, 54H20 58F99
37B35 Gradient-like and recurrent behavior; isolated (locally-maximal) invariant sets54H20, 58F99
37B40 Topological entropy54C70, 54H20, 58F99
37B45 Continua theory in dynamics54F15, 54H20, 58F99
37B50 Multi-dimensional shifts of finite type, tiling dynamics28D99, 54H20, 58F99
37B55 Nonautonomous dynamical systems34C35, 54H20, 58F99
37B99 None of the above, but in this section54H20, 54H99, 58F99
New MSC20001991 MSC
37CXX Smooth dynamical systems: general theory 34Cxx, 34Dxx, 57R35, 58Fxx
37C05 Smooth mappings and diffeomorphisms57R35, 58C25, 58F99
37C10 Vector fields, flows, ordinary differential equations34C35, 34C40, 57R25, 58F25, 58F99
37C15 Topological and differentiable equivalence, conjugacy, invariants, moduli, classification34C99, 58F99
37C20 Generic properties, structural stability34C99, 34D30, 58F10, 58F99
37C25 Fixed points, periodic points, fixed-point index theory34C05, 55M20, 57R99, 58F03, 58F08, 58F20
37C27 Periodic orbits of vector fields and flows34C25, 58F22
37C29 Homoclinic and heteroclinic orbits34C23, 34C37, 58F14, 58F99
37C30 Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems58F20, 58F99
37C35 Orbit growth58F99
37C40 Smooth ergodic theory, invariant measures 28D99, 58F11
37C45 Dimension theory of dynamical systems28A78, 28A99, 58F99
37C50 Approximate trajectories (pseudotrajectories, shadowing, etc.)58F99
37C55 Periodic and quasiperiodic flows and diffeomorphisms34C27, 34C35, 58F25, 58F27
37C60 Nonautonomous smooth dynamical systems 34C35, 34C99, 58F99
37C65 Monotone flows34C35, 58F25
37C70 Attractors and repellers, topological structure34D45, 54H20, 58F12
37C75 Stability theory34Dxx, 54H20, 58F12
37C80 Symmetries, equivariant dynamical systems58F35, 58F99
37C85 Dynamics of group actions other than ${\bf Z}$ and ${\bf R}$, and foliations 57R30, 57Sxx, 58F99
37C99 None of the above, but in this section34C35, 58F99
New MSC20001991 MSC
37DXX Dynamical systems with hyperbolic behavior58F09, 58F15, 58F99
37D05 Hyperbolic orbits and sets58F09, 58F15
37D10 Invariant manifold theory58F15, 58F99
37D15 Morse-Smale systems58F09
37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)58F15, 58F99
37D25 Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)58F15, 58F99
37D30 Partially hyperbolic systems and dominated splittings58F15, 58F99
37D35 Thermodynamic formalism, variational principles, equilibrium states58F11, 58F15, 58F99
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)58F17
37D45 Strange attractors, chaotic dynamics58F12, 58F13, 58F14
37D50 Hyperbolic systems with singularities (billiards, etc.)58F15, 58F99
37D99 None of the above, but in this section58F15, 58F99
New MSC20001991 MSC
37EXX Low-dimensional dynamical systems58Fxx
37E05 Maps of the interval (piecewise continuous, continuous, smooth)26A18, 39B12, 58F03, 58F08, 58F99
37E10 Maps of the circle58F03, 58F99
37E15 Combinatorial dynamics (types of periodic orbits)58F99
37E20 Universality, renormalization 58F99
37E25 Maps of trees and graphs58F99
37E30 Homeomorphisms and diffeomorphisms of planes and surfaces59F99
37E35 Flows on surfaces34C35, 57R99, 58F99
37E40 Twist maps58F99
37E45 Rotation numbers and vectors58F99
37E99 None of the above, but in this section58F99
New MSC20001991 MSC
37FXX Complex dynamical systems 30D05, 32H50, 58F23
37F05 Relations and correspondences32H50, 58F23
37F10 Polynomials; rational maps; entire and meromorphic functions 30D05, 32H50, 58F23
37F15 Expanding maps; hyperbolicity; structural stability30D05, 32H50, 58F23
37F20 Combinatorics and topology30D05, 32H50, 58F23
37F25 Renormalization30D05, 32H50, 58F23
37F30 Quasiconformal methods and Teichm\"uller theory; Fuchsian and Kleinian groups as dynamical systems30C99, 30F35, 30F40, 30F60, 58F23
37F35 Conformal densities and Hausdorff dimension30D05, 32H50, 58F23
37F40 Geometric limits30D05, 32H50, 58F23
37F45 Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations30D05, 32H50, 58F23
37F50 Small divisors, rotation domains and linearization; Fatou and Julia sets30D05, 32H50, 58F23
37F75 Holomorphic foliations and vector fields 32S65, 34A20, 58F18
37F99 None of the above, but in this section30D05, 32H50, 58F23
New MSC20001991 MSC
37GXX Local and nonlocal bifurcation theory 34C23, 58F14
37G05 Normal forms34C20, 58F36
37G10 Bifurcations of singular points34C23, 58F14
37G15 Bifurcations of limit cycles and periodic orbits34C05, 34C23, 34C25, 58F14, 58F21, 58F22
37G20 Hyperbolic singular points with homoclinic trajectories34C23, 34C37, 58F14
37G25 Bifurcations connected with nontransversal intersection34C23, 58F14
37G30 Infinite nonwandering sets arising in bifurcations34C23, 58F14
37G35 Attractors and their bifurcations58F12, 58F14
37G40 Symmetries, equivariant bifurcation theory34C23, 58F14, 58F35
37G99 None of the above, but in this section34C23, 58F14
New MSC20001991 MSC
37HXX Random dynamical systems 34F05, 34K50, 35R60, 39A99, 47B80, 47H40, 58F99, 60H10, 60H15, 60H99, 93Exx
37H05 Foundations, general theory of cocycles, algebraic ergodic theory 22D40, 28D15, 58F11, 58F99
37H10 Generation, random and stochastic difference and differential equations 34F05, 34K50, 39A99, 35R60, 60H10, 60H15, 60H99, 93Exx
37H15 Multiplicative ergodic theory, Lyapunov exponents 28D99, 34D08, 34F05, 58F11
37H20 Bifurcation theory 34C23, 34F05, 34K50, 39A99, 35R60, 58F14
37H99 None of the above, but in this section34F05, 34K50, 35R60, 39A99, 47B80, 47H40, 58F99, 60H10, 60H15, 60H99, 93Exx
New MSC20001991 MSC
37JXX Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems 58F05, 58F07, 70Fxx, 70Hxx
37J05 General theory, relations with symplectic geometry and topology53C15, 58F05, 70Gxx, 70H05
37J10 Symplectic mappings, fixed points58F05, 70H05, 70H15
37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction 58F05, 58F35, 70H05, 70H33
37J20 Bifurcation problems34C23, 58F05, 58F14, 70H05, 70K99
37J25 Stability problems34Dxx, 58F05, 58F12, 70K15, 70K20
37J30 Obstructions to integrability (nonintegrability criteria)58F05, 58F07, 70H05
37J35 Completely integrable systems, topological structure of phase space, integration methods58F05, 58F07, 70H05
37J40 Perturbations, normal forms, small divisors, KAM theory, Arnol\cprime d diffusion34C29, 34C99, 58F05, 58F27, 58F30, 70H05, 70K99
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods34C25, 34C37, 58F05, 58F14, 58F22
37J50 Action-minimizing orbits and measures58E99, 58F05, 58F99
37J55 Contact systems 53C15, 58F99, 70F99, 70H99
37J60 Nonholonomic dynamical systems 58F99, 70F25
37J99 None of the above, but in this section58F99, 70H99
New MSC20001991 MSC
37KXX Infinite-dimensional Hamiltonian systems 35A15, 35A30, 35B99, 35Qxx, 58E99, 58F05, 58F07, 58F39
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws35A15, 35A30, 35Qxx, 58F05, 58F07, 58F37, 58F39
37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)35Q51, 35Q53, 35Q55, 35Q58, 58F07
37K15 Integration of completely integrable systems by inverse spectral and scattering methods34A55, 34L40, 34L25, 35Q51, 35Q53, 35Q55, 35Q58, 58F07
37K20 Relations with algebraic geometry, complex analysis, special functions 14H99, 35Qxx, 58F07
37K25 Relations with differential geometry53C99, 35Qxx, 58F07
37K30 Relations with infinite-dimensional Lie algebras and other algebraic structures17B99, 35Qxx, 58F07
37K35 Lie-B\"acklund and other transformations35A30, 35Q51, 35Q53, 35Q55, 35Q58, 58F37, 58G37
37K40 Soliton theory, asymptotic behavior of solutions35B40, 35Q51, 35Q53, 35Q55, 35Q58, 58F07
37K45 Stability problems35B35, 35Qxx, 58D25, 58F07, 58F12, 58F39
37K50 Bifurcation problems35B32, 35Qxx, 58D25, 58F14, 58F39
37K55 Perturbations, KAM for infinite-dimensional systems35B20, 35Qxx, 58D25, 58F30, 58F39
37K60 Lattice dynamics 35Q99, 58F39, 70K99
37K65 Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics58D05, 58D25, 58F05
37K99 None of the above, but in this section35Qxx, 58F05, 58F99
New MSC20001991 MSC
37LXX Infinite-dimensional dissipative dynamical systems 34G20, 35Bxx, 35Qxx, 47H20, 58D25, 58F39
37L05 General theory, nonlinear semigroups, evolution equations34G20, 35Bxx, 35K22, 35L99, 47H20, 58D25, 58F39
37L10 Normal forms, center manifold theory, bifurcation theory34G20, 35B32, 58D25, 58F14, 58F36, 58F39
37L15 Stability problems34G20, 35B35, 58D25, 58F12, 58F39
37L20 Symmetries34G20, 35A30, 58D25, 58F35, 58F39
37L25 Inertial manifolds and other invariant attracting sets34G20, 35B40, 58D25, 58F12, 58F39
37L30 Attractors and their dimensions, Lyapunov exponents34G20, 35B40, 58F12, 58F39
37L40 Invariant measures35B99, 58D25, 58F39
37L45 Hyperbolicity; Lyapunov functions35B99, 58F15, 58F39
37L50 Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems34G20, 47H20, 58D25, 58F30, 58F39
37L55 Infinite-dimensional random dynamical systems; stochastic equations 35R60, 60H10, 60H15
37L60 Lattice dynamics 35Q99, 58F99, 70K99, 82C99
37L65 Special approximation methods (nonlinear Galerkin, etc.)35A35, 58F39, 58F99, 65M99
37L99 None of the above, but in this section34G20, 35Bxx, 35Qxx, 47H20, 58D25, 58F39
New MSC20001991 MSC
37MXX Approximation methods and numerical treatment of dynamical systems 58F99, 65-XX, 70-08
37M05 Simulation58F99, 65C20, 65C99
37M10 Time series analysis58F99, 65U05
37M15 Symplectic integrators58F99, 65L99
37M20 Computational methods for bifurcation problems58F14, 58F99, 65L99
37M25 Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy)58F99
37M99 None of the above, but in this section58F99, 65-XX
New MSC20001991 MSC
37NXX Applications58F40
37N05 Dynamical systems in classical and celestial mechanics 58F05, 58F40, 70F15, 70Hxx, 70Kxx
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology 58F40, 76-XX, 86A05, 86A10
37N15 Dynamical systems in solid mechanics 58F40, 73-XX
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)58F40, 78-XX, 81-XX, 83-XX
37N25 Dynamical systems in biology 58F40, 92-XX
37N30 Dynamical systems in numerical analysis58F40, 65-XX
37N35 Dynamical systems in control58F40, 49-XX, 93-XX
37N40 Dynamical systems in optimization and economics58F40, 90-XX
37N99 None of the above, but in this section58F40
New MSC20001991 MSC
39A13 Difference equations, scaling ($q$-differences) 39A10, 39A70
39A20 Multiplicative and other generalized difference equations, e.g. of Lyness type39A10, 39A70
39B55 Orthogonal additivity and other conditional equations39B05, 39B42, 39B52
39B82 Stability, separation, extension, and related topics 39B10, 46A22
New MSC20001991 MSC
42B35 Function spaces arising in harmonic analysis42B99
42C40 Wavelets42C15, 42C99
New MSC20001991 MSC
45Q05 Inverse problems35R30, 45A05
45R05 Random integral equations 60H20
New MSC20001991 MSC
46A61 Graded Fr\'echet spaces and tame operators46A04, 46A99
46A63 Topological invariants ((DN), ($\Omega$), etc.)46A04, 46A99
46B50 Compactness in Banach (or normed) spaces46A50, 46B99
46C07 Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) 46C05, 46C99, 46B70, 46M35
46F30 Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)46F05, 46F10, 46F99
46G25 (Spaces of) multilinear mappings, polynomials 46B28, 46G20, 46E50
46L06 Tensor products of $C^*$-algebras46L05, 46M05
46L07 Operator spaces and completely bounded maps 46L05, 46B28, 47D15, 47D25
46L08 $C^*$-modules46L05, 46H25
46L09 Free products of $C^*$-algebras46L05, 46M99
46L51 Noncommutative measure and integration46L50
46L52 Noncommutative function spaces46L50
46L53 Noncommutative probability and statistics46L50
46L54 Free probability and free operator algebras46L50
46L65 Quantizations, deformations46L60, 46L99
46M18 Homological methods (exact sequences, right inverses, lifting, etc.)46M20, 46M99
46S60 Functional analysis on superspaces (supermanifolds) or graded spaces 46S99, 58A50, 58C50
46TXX Nonlinear functional analysis 46Gxx, 58Cxx, 58Dxx, 58Bxx
46T05 Infinite-dimensional manifolds 58Bxx, 58Dxx
46T10 Manifolds of mappings58Dxx
46T12 Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds 28C20, 46G12, 60Hxx
46T20 Continuous and differentiable maps 46G05, 58Cxx
46T25 Holomorphic maps 46G20, 58C10
46T30 Distributions and generalized functions on nonlinear spaces 46Fxx, 58C99
46T99 None of the above, but in this section46G99, 58B99, 58C99, 58D99
New MSC20001991 MSC
47A06 Linear relations (multivalued linear operators)47A05, 47A99
47A07 Forms (bilinear, sesquilinear, multilinear)47A05, 47A99
47A16 Cyclic and hypercyclic vectors47A99, 47B99
47A46 Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.47A15, 47A45, 47A99
47A52 Ill-posed problems, regularization47A50, 65J10, 65J20
47A63 Operator inequalities47A63
47A64 Operator means, shorted operators, etc.47A63
New MSC20001991 MSC
47B32 Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) 47A45, 47B38, 46E22
47B33 Composition operators47B38
47B34 Kernel operators47B38
47B36 Jacobi (tridiagonal) operators (matrices) and generalizations39A70, 47B25, 47B37, 47B39
New MSC20001991 MSC
47D08 Schr\"odinger and Feynman-Kac semigroups35J10, 47D06, 47D07
47D60 $C$-semigroups47D03, 47D06
47D62 Integrated semigroups47D03, 47D06
New MSC20001991 MSC
47H14 Perturbations of nonlinear operators47H15, 47H99
47H50 Potential operators47H15, 47H99
47H60 Multilinear and polynomial operators 46G20, 47H99
New MSC20001991 MSC
47JXX Equations and inequalities involving nonlinear operators \SeeAlso{\SbjNo 46Txx} 47H15, 47H19
47J05 Equations involving nonlinear operators (general)47H15
47J06 Nonlinear ill-posed problems47H15, 47H17, 65J15, 65J20
47J07 Abstract inverse mapping and implicit function theorems 46G05, 47H15, 58C15
47J10 Nonlinear eigenvalue problems47H12, 58E07, 58E09
47J15 Abstract bifurcation theory 47H15, 58E07, 58E09
47J20 Variational and other types of inequalities involving nonlinear operators (general)47H19, 49J40
47J25 Methods for solving nonlinear operator equations (general)47H17, 65J15
47J30 Variational methods 47H15, 58Exx
47J35 Nonlinear evolution equations 34G20, 35R20, 58D25
47J40 Equations with hysteresis operators47H30
47J99 None of the above, but in this section47H99
New MSC20001991 MSC
47LXX Linear spaces and algebras of operators 46B28, 46Lxx, 47D15, 47D25, 47D30
47L05 Linear spaces of operators 46B28, 47D15
47L07 Convex sets and cones of operators 47D20
47L10 Algebras of operators on Banach spaces and other topological linear spaces47D30
47L15 Operator algebras with symbol structure46L99, 47D25, 47D30
47L20 Operator ideals47D50
47L25 Operator spaces (= matricially normed spaces) 46L05, 47D25
47L30 Abstract operator algebras on Hilbert spaces46Lxx, 47D25
47L35 Nest algebras, CSL algebras47D25
47L40 Limit algebras, subalgebras of $C^*$-algebras46L05, 47D25
47L45 Dual algebras; weakly closed singly generated operator algebras47D27
47L50 Dual spaces of operator algebras47D35
47L55 Representations of (nonselfadjoint) operator algebras47D25
47L60 Algebras of unbounded operators; partial algebras of operators47D40
47L65 Crossed product algebras (analytic crossed products)46L05, 46L55, 47D25
47L70 Nonassociative nonselfadjoint operator algebras46K99, 47D25
47L75 Other nonselfadjoint operator algebras47D25
47L80 Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)46L05, 47B35, 47D30, 47D25, 47G10, 47G30
47L90 Applications of operator algebras to physics47D45, 47N50, 47N55
47L99 None of the above, but in this section47D99
New MSC20001991 MSC
49J53 Set-valued and variational analysis 49J52, 49J27, 49K27
49N70 Differential games90D25
49N75 Pursuit and evasion games90D26
49N90 Applications of optimal control and differential games 49N55, 90D80
49R50 Variational methods for eigenvalues of operators 49Rxx, 49R05, 49R10, 49R15 49R20 49R99
New MSC20001991 MSC
52B22 Shellability52B30, 52B11, 52B40, 52B20
52C23 Quasicrystals, aperiodic tilings52C20, 52C22
52C26 Circle packings and discrete conformal geometry52C15, 52C17
52C30 Planar arrangements of lines and pseudolines 52B30, 52B40
52C35 Arrangements of points, flats, hyperplanes 52B30, 52B40
52C40 Oriented matroids52B40
52C45 Combinatorial complexity of geometric structures 52B55, 68U05
New MSC20001991 MSC
53C17 Sub-Riemannian geometry53C20
53C24 Rigidity results53C20, 53C23
53C26 Hyper-K\"ahler and quaternionic K\"ahler geometry, ``special'' geometry53C25, 53C55
53C27 Spin and Spin$^c$ geometry53C25, 57R15
53C28 Twistor methods 32L25, 53C56
53C29 Issues of holonomy53C05, 53C10
53C38 Calibrations and calibrated geometries53C42
53C43 Differential geometric aspects of harmonic maps 58E20
53C44 Geometric evolution equations (mean curvature flow)58E12, 53C21, 35
53DXX Symplectic geometry, contact geometry 58F05, 53C15
53D05 Symplectic manifolds, general58F05, 70H05
53D10 Contact manifolds, general58F05, 70H05
53D12 Lagrangian submanifolds; Maslov index58F05, 70H05
53D15 Almost contact and almost symplectic manifolds53C15
53D17 Poisson manifolds58F05, 70H05
53D20 Momentum maps; symplectic reduction58F05, 70H05, 70H33
53D22 Canonical transformations58F05, 70H15
53D25 Geodesic flows58F17
53D30 Symplectic structures of moduli spaces58D27, 58F05
53D35 Global theory of symplectic and contact manifolds 57R15, 57R57
53D40 Floer homology and cohomology, symplectic aspects58E05, 58D10
53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds 58D29, 58D10, 14N10
53D50 Geometric quantization58F06, 81S10
53D55 Deformation quantization, star products58F06, 81S10
53D99 None of the above, but in this section58F05
New MSC20001991 MSC
55N34 Elliptic cohomology55N35, 55N20, 58G10, 58G12, 11F11
55P43 Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.)55P42, 55U35, 55P47
55P48 Loop space machines, operads 55P47, 55U35, 55P42
55P57 Proper homotopy theory55P15, 55P99, 55P55
55P92 Relations between equivariant and nonequivariant homotopy theory55P91
55Q51 $v_n$-periodicity55P42, 55Q10, 55N22, 55N20
55R37 Maps between classifying spaces55R35
55R70 Fibrewise topology55Rxx
55R80 Discriminantal varieties, configuration spaces55R35, 55R99, 57M25, 57R45
New MSC20001991 MSC
57M27 Invariants of knots and 3-manifolds57M25, 57N10
57N16 Geometric structures on manifolds 57M50, 57N05, 57N10, 57N13, 57N15, 57N70
57R17 Symplectic and contact topology57R15
57R56 Topological quantum field theories57R57, 58D29
57R58 Floer homology57R57, 55N35, 58E05
New MSC20001991 MSC
58A32 Natural bundles58A05, 58A20
New MSC20001991 MSC
58B32 Geometry of quantum groups58B30
58B34 Noncommutative geometry (\`a la Connes)58B30
New MSC20001991 MSC
58JXX Partial differential equations on manifolds; differential operators 58Gxx
58J05 Elliptic equations on manifolds, general theory 58G03
58J10 Differential complexes 58G05
58J15 Relations with hyperfunctions58G07
58J20 Index theory and related fixed point theorems 58G10
58J22 Exotic index theories 58G12
58J26 Elliptic genera11F11, 58G10, 58G12
58J28 Eta-invariants, Chern-Simons invariants58G10, 58G25
58J30 Spectral flows58G10, 58G25
58J32 Boundary value problems on manifolds58G20
58J35 Heat and other parabolic equation methods58G11
58J37 Perturbations; asymptotics58G18
58J40 Pseudodifferential and Fourier integral operators on manifolds 58G15
58J42 Noncommutative global analysis, noncommutative residues58G15, 58B30
58J45 Hyperbolic equations 58G16
58J47 Propagation of singularities; initial value problems58G17
58J50 Spectral problems; spectral geometry; scattering theory 58G25
58J52 Determinants and determinant bundles, analytic torsion58G26
58J53 Isospectrality58G25
58J55 Bifurcation 58G28
58J60 Relations with special manifold structures (Riemannian, Finsler, etc.)58G30
58J65 Diffusion processes and stochastic analysis on manifolds 58G32
58J70 Invariance and symmetry properties 58G35
58J72 Correspondences and other transformation methods (e.g. Lie-B\"acklund) 58G37
58J90 Applications58G40
58J99 None of the above, but in this section58G99
New MSC20001991 MSC
58KXX Theory of singularities and catastrophe theory 58C27, 58C28, 58F14
58K05 Critical points of functions and mappings58C27, 32S05
58K10 Monodromy58C27
58K15 Topological properties of mappings58C27
58K20 Algebraic and analytic properties of mappings58C27, 32S05, 32S15
58K25 Stability58C27
58K30 Global theory58C27, 57R45
58K35 Catastrophe theory58C28
58K40 Classification; finite determinacy of map germs58C27
58K45 Singularities of vector fields, topological aspects58F14, 58C27
58K50 Normal forms58F36, 58C27
58K55 Asymptotic behavior58C27, 58G18
58K60 Deformation of singularities58C27, 32S39
58K65 Topological invariants58C27
58K70 Symmetries, equivariance58C27
58K99 None of the above, but in this section58C27
New MSC20001991 MSC
60-08 Computational methods (not classified at a more specific level) 60-04
60G51 Processes with independent increments60J30
60G52 Stable processes60G99
60H35 Computational methods for stochastic equations 60H10, 60H15, 60H20, 60H99
60H40 White noise theory60G99, 60H99
60J22 Computational methods in Markov chains 60J10, 60J27, 60-04
60K37 Processes in random environments60K99, 60J80
New MSC20001991 MSC
62A01 Foundational and philosophical topics62Axx
62F40 Bootstrap, jackknife and other resampling methods62F99, 62G09
62G08 Nonparametric regression62G05, 62J02, 62G99
62G32 Statistics of extreme values; tail inference62G30, 62G99
62H35 Image analysis62H99, 62M40
62K20 Response surface designs62K05, 62K99
62K25 Robust parameter designs62K99
62M45 Neural nets and related approaches62M99
62N01 Censored data models62G99, 62G05, 62G07, 62G10
62N02 Estimation62G05, 62G07, 62F10, 62F11, 62F12
62N03 Testing62G10, 62F03, 62F04, 62F05
62P12 Applications to environmental and related topics62P10, 62P99
62P30 Applications in engineering and industry62N05, 62N10, 62N99
62P35 Applications to physics62P99
New MSC20001991 MSC
65CXX Probabilistic methods, simulation and stochastic differential equations 65Cxx, 65U05
65C30 Stochastic differential and integral equations65U05, 65L99, 65M99, 65N99, 65R99
65C35 Stochastic particle methods 65C99
65C40 Computational Markov chains65U05
65C50 Other computational problems in probability65U05
65C60 Computational problems in statistics65U05
65D18 Computer graphics and computational geometry 65Y25
65F18 Inverse eigenvalue problems65F15
65F22 Ill-posedness, regularization65F20, 65F99
65G20 Algorithms with automatic result verification65G10, 65G99
65G30 Interval and finite arithmetic65G10
65G40 General methods in interval analysis65G10
65G50 Roundoff error65G05
65J22 Inverse problems65J20
65L09 Inverse problems65L08
65L80 Methods for differential-algebraic equations65L99
65M32 Inverse problems65M30
65N21 Inverse problems65N99
65PXX Numerical problems in dynamical systems 58Fxx, 65Q05
65P10 Hamiltonian systems including symplectic integrators58F05
65P20 Numerical chaos58F13
65P30 Bifurcation problems58E07, 47H17
65P40 Nonlinear stabilities58F10
65P99 None of the above, but in this section58F99
65R32 Inverse problems65R30
65T40 Trigonometric approximation and interpolation65T10
65T50 Discrete and fast Fourier transforms65T20
65T60 Wavelets65T20, 65T99
65Z05 Applications to physics65P05, 65M99, 65N99
New MSC20001991 MSC
68M01 General68M05
68M12 Network protocols68M10
68M14 Distributed systems68M10
68N01 General68N05
68N18 Functional programming and lambda calculus 68N15, 03B40
68N19 Other programming techniques (object-oriented, sequential, concurrent, automatic, etc.)68N99
68N30 Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.)68N99, 68Q60
68P01 General68P99, 68Pxx
68P30 Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) 68P99, 94A29
68Q01 General68Q99, 68Qxx
68Q17 Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) 68Q25, 68Q15
68Q19 Descriptive complexity and finite models 03C13
68Q32 Computational learning theory 68T05, 68Q99
68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)68Q10
68R01 General68R99, 68Rxx
68T37 Reasoning under uncertainty68T27, 68T30
68T40 Robotics 70B15, 93C85, 68T99
68T45 Machine vision and scene understanding68U10
68T50 Natural language processing 68S05
68U01 General68U99, 68Uxx
68U35 Information systems (hypertext navigation, interfaces, decision support, etc.)68U99
68WXX Algorithms 68Q20
68W01 General68Q20
68W05 Nonnumerical algorithms68Q20
68W10 Parallel algorithms68Q22
68W15 Distributed algorithms68Q22
68W20 Randomized algorithms68Q20
68W25 Approximation algorithms68Q20
68W30 Symbolic computation and algebraic computation 68Q40
68W35 VLSI algorithms68Q35
68W40 Analysis of algorithms 68Q25
68W99 None of the above, but in this section68Q20
New MSC20001991 MSC
70E17 Motion of a rigid body with a fixed point70E15
70E18 Motion of a rigid body in contact with a solid surface 70E15, 70F25
70E40 Integrable cases of motion70E15, 70H05, 58F07
70E45 Higher-dimensional generalizations70E15, 58F05, 58F07
70E50 Stability problems34Dxx, 70K15, 70K20
70E55 Dynamics of multibody systems70E99
70E60 Robot dynamics and control 70B15, 70Q05, 93C85
New MSC20001991 MSC
70F16 Collisions in celestial mechanics, regularization70F10, 70F15, 70F35
70F17 Inverse problems70F99
70F40 Problems with friction70F99
70F45 Infinite particle systems70F99, 70H05, 58F05, 58F99
New MSC20001991 MSC
70G40 Topological and differential-topological methods57R99, 58F05, 58F07, 58F99, 70H99
70G45 Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) 53C15, 53C80, 58F05, 70G05
70G55 Algebraic geometry methods58F99, 70H99
70G60 Dynamical systems methods34C35, 58F05, 58F40
70G65 Symmetries, Lie-group and Lie-algebra methods22E70, 58F35, 70H33
70G70 Functional-analytic methods47H99, 70H99
70G75 Variational methods49J40, 49S05, 58E99, 70H25, 70H30
New MSC20001991 MSC
70H03 Lagrange's equations70H35, 58F05
70H06 Completely integrable systems and methods of integration58F05, 58F07, 70H05
70H07 Nonintegrable systems34C99, 58F05, 70H05
70H08 Nearly integrable Hamiltonian systems, KAM theory34C99, 58F05, 58F30, 70H05
70H09 Perturbation theories34C29, 58F05, 58F30, 70H05
70H11 Adiabatic invariants34C99, 34E99, 70H05, 70K99
70H12 Periodic and almost periodic solutions34C25, 34C27, 58F22, 70H05
70H14 Stability problems34D99, 58F12, 70K15, 70K20
70H45 Constrained dynamics, Dirac's theory of constraints 58F99, 70F20, 70F25, 70G99, 70H99
70H50 Higher-order theories58F05, 70H99
New MSC20001991 MSC
70J50 Systems arising from the discretization of structural vibration problems70J99, 73K12
New MSC20001991 MSC
70K42 Equilibria and periodic trajectories34C05, 34C25, 70K05, 70K10
70K43 Quasi-periodic motions and invariant tori34C27, 58F27, 58F30, 70H05
70K44 Homoclinic and heteroclinic trajectories34C37, 58F14, 70K99
70K45 Normal forms34C20, 58F05, 58F36, 70H05
70K55 Transition to stochasticity (chaotic behavior) 58F13, 70K50
70K60 General perturbation schemes34C29, 58F30, 70H05, 70K99
70K65 Averaging of perturbations34C29, 58F30, 70H05, 70K99
70K70 Systems with slow and fast motions34C29, 34E99, 70K99
70K75 Nonlinear modes34C15, 70K99
New MSC20001991 MSC
70SXX Classical field theories 70G50, 78A25, 81T13
70S05 Lagrangian formalism and Hamiltonian formalism58F05, 70G50, 70H05
70S10 Symmetries and conservation laws58E15, 58F35, 70H33, 81T13
70S15 Yang-Mills and other gauge theories58E15, 70G50, 81T13
70S20 More general nonquantum field theories70G50, 81T99
70S99 None of the above, but in this section70G50
New MSC20001991 MSC
74-XX Mechanics of deformable solids73-XX
74-00 General reference works (handbooks, dictionaries, bibliographies, etc.)73-00
74-01 Instructional exposition (textbooks, tutorial papers, etc.)73-01
74-02 Research exposition (monographs, survey articles)73-02
74-03 Historical (must also be assigned at least one classification number from Section 01)73-03
74-04 Explicit machine computation and programs (not the theory of computation or programming)73-04
74-05 Experimental work73-05
74-06 Proceedings, conferences, collections, etc.73-06
New MSC20001991 MSC
74AXX Generalities, axiomatics, foundations of continuum mechanics of solids73A05, 73Bxx
74A05 Kinematics of deformation73A05, 73B99
74A10 Stress73A05, 73B99
74A15 Thermodynamics73B30, 80A10, 80A15
74A20 Theory of constitutive functions73B05
74A25 Molecular, statistical, and kinetic theories73B99, 82B99, 82C99
74A30 Nonsimple materials73B18
74A35 Polar materials73B25
74A40 Random materials and composite materials73B27, 73B35, 73K20
74A45 Theories of fracture and damage73M25
74A50 Structured surfaces and interfaces, coexistent phases73B30, 80A22, 82B26, 82B99
74A55 Theories of friction (tribology)73T05
74A60 Micromechanical theories73S10
74A65 Reactive materials80A99, 92E99
74A99 None of the above, but in this section73A05, 73B99
New MSC20001991 MSC
74BXX Elastic materials73Cxx
74B05 Classical linear elasticity73C02
74B10 Linear elasticity with initial stresses73C99
74B15 Equations linearized about a deformed state (small deformations superposed on large)73C02, 73C50, 73C99
74B20 Nonlinear elasticity73C50
74B99 None of the above, but in this section73C99
New MSC20001991 MSC
74CXX Plastic materials, materials of stress-rate and internal-variable type73Exx, 73G20, 73G99
74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)73E05, 73E99
74C10 Small-strain, rate-dependent theories (including theories of viscoplasticity)73E60, 73E99
74C15 Large-strain, rate-independent theories (including nonlinear plasticity)73E99, 73G20, 73G99
74C20 Large-strain, rate-dependent theories73E99, 73G99
74C99 None of the above, but in this section73E99, 73G99
New MSC20001991 MSC
74DXX Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)73Fxx, 73G25 73G99
74D05 Linear constitutive equations73F05, 73Fxx
74D10 Nonlinear constitutive equations73G25, 73G99
74D99 None of the above, but in this section73F99, 73G99
New MSC20001991 MSC
74EXX Material properties given special treatment73Bxx
74E05 Inhomogeneity73B27
74E10 Anisotropy73B40
74E15 Crystalline structure73B99
74E20 Granularity73B99, 73E99
74E25 Texture73B99
74E30 Composite and mixture properties73B27, 73B99, 73K20
74E35 Random structure73B35
74E40 Chemical structure80A99, 92E99
74E99 None of the above, but in this section73B99
New MSC20001991 MSC
74FXX Coupling of solid mechanics with other effects73-XX
74F05 Thermal effects73B30
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)73K70, 76S05
74F15 Electromagnetic effects73R05, 78A99
74F20 Mixture effects73B99, 80A99
74F25 Chemical and reactive effects80A99, 92E99
74F99 None of the above, but in this section73B99
New MSC20001991 MSC
74GXX Equilibrium (steady-state) problems73Cxx, 73E99, 73F99, 73G99
74G05 Explicit solutions73C02, 73E99, 73F99, 73G99
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)73C99, 73E99, 73F99, 73G99
74G15 Numerical approximation of solutions73Vxx
74G20 Local existence of solutions (near a given solution)35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G25 Global existence of solutions35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G30 Uniqueness of solutions35Q72, 73C15, 73C35, 73E99, 73F99, 73G99
74G35 Multiplicity of solutions35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G40 Regularity of solutions35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G45 Bounds for solutions35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G50 Saint-Venant's principle73C10
74G55 Qualitative behavior of solutions35Q72, 73C02, 73C35, 73E99, 73F99, 73G99
74G60 Bifurcation and buckling73C99, 73E99, 73F99, 73G99, 73H05
74G65 Energy minimization73C99, 73E99, 73F99, 73G99, 73V25
74G70 Stress concentrations, singularities73B50, 73C99
74G75 Inverse problems35Q72, 35R30, 73C99
74G99 None of the above, but in this section73C99, 73E99, 73F99, 73G99
New MSC20001991 MSC
74HXX Dynamical problems35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H05 Explicit solutions35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)73C99, 73D99
74H15 Numerical approximation of solutions73Vxx
74H20 Existence of solutions35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H25 Uniqueness of solutions35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H30 Regularity of solutions35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H35 Singularities, blowup, stress concentrations35Q72, 73B50, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H40 Long-time behavior of solutions35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx
74H45 Vibrations73D30, 73D35, 73K12
74H50 Random vibrations73D99, 73K35
74H55 Stability35Q72, 73C02, 73Dxx, 73E50, 73F15, 73Gxx, 73H10
74H60 Dynamical bifurcation73D99, 73H10
74H65 Chaotic behavior58F13, 58F40, 73D35, 73K12
74H99 None of the above, but in this section73C99, 73D99
New MSC20001991 MSC
74JXX Waves73Dxx, 73E50, 73F15, 73Gxx
74J05 Linear waves35Q72, 73D99
74J10 Bulk waves73D15
74J15 Surface waves73D20
74J20 Wave scattering35P25, 35Q72, 73D25
74J25 Inverse problems35Q72, 35R30, 73D50
74J30 Nonlinear waves35Q72, 73D99
74J35 Solitary waves35Q51, 73D35, 73D99
74J40 Shocks and related discontinuities35Q72, 35L67, 73D05, 73D40
74J99 None of the above, but in this section35Q72, 73D99
New MSC20001991 MSC
74KXX Thin bodies, structures73Kxx
74K05 Strings73K03
74K10 Rods (beams, columns, shafts, arches, rings, etc.)73K05
74K15 Membranes73K10
74K20 Plates73K10
74K25 Shells73K15
74K30 Junctions73K99
74K35 Thin films73C99, 73K99
74K99 None of the above, but in this section73K99
New MSC20001991 MSC
74LXX Special subfields of solid mechanics73-XX
74L05 Geophysical solid mechanics 73N20
74L10 Soil and rock mechanics73Q05
74L15 Biomechanical solid mechanics 73P20, 92C10
74L99 None of the above, but in this section73-XX
New MSC20001991 MSC
74MXX Special kinds of problems73-XX
74M05 Control, switches and devices (``smart materials'') 73K50, 93C20, 93C95
74M10 Friction70F99, 73T05
74M15 Contact73T05
74M20 Impact73D05
74M25 Micromechanics73S10
74M99 None of the above, but in this section73-XX
New MSC20001991 MSC
74NXX Phase transformations in solids 73B30, 80A22, 82B26, 82C26
74N05 Crystals73B10, 73B99, 73C50, 82D25
74N10 Displacive transformations73B30
74N15 Analysis of microstructure73B30, 73B99, 73S10
74N20 Dynamics of phase boundaries73B30, 80A22
74N25 Transformations involving diffusion73B30, 80A20, 80A22
74N30 Problems involving hysteresis73B30, 47H30, 80A99
74N99 None of the above, but in this section73B30
New MSC20001991 MSC
74PXX Optimization 49Q10, 49Q99, 73K40
74P05 Compliance or weight optimization49Q10, 49Q99, 73K40
74P10 Optimization of other properties49Q10, 49Q99, 73K40
74P15 Topological methods49Q10, 49Q99, 73K40
74P20 Geometrical methods49Q10, 49Q99, 73K40
74P99 None of the above, but in this section49Q10, 49Q99, 73K40
New MSC20001991 MSC
74QXX Homogenization, determination of effective properties35B27, 73B27, 73K20
74Q05 Homogenization in equilibrium problems35B27, 73B27, 73K20
74Q10 Homogenization and oscillations in dynamical problems35B27, 73B27, 73K20
74Q15 Effective constitutive equations35B27, 73B27, 73K20
74Q20 Bounds on effective properties35B27, 73B27, 73K20
74Q99 None of the above, but in this section35B27, 73B27, 73K20
New MSC20001991 MSC
74RXX Fracture and damage73M25
74R05 Brittle damage73M25
74R10 Brittle fracture73M25
74R15 High-velocity fracture73M25
74R20 Anelastic fracture and damage73M25
74R99 None of the above, but in this section73M25
New MSC20001991 MSC
74SXX Numerical methods 65-XX, 73Vxx
74S05 Finite element methods65M60, 65N30, 73V05
74S10 Finite volume methods65M99, 65N99, 73V20
74S15 Boundary element methods65M99, 65N38, 65R20, 73V10
74S20 Finite difference methods65M06, 65N06, 73V15
74S25 Spectral and related methods65M70, 65N35, 73V20
74S30 Other numerical methods65Mxx, 65Nxx, 73V20
74S99 None of the above, but in this section65M99, 65N99, 73V99
New MSC20001991 MSC
76A20 Thin fluid films76A99, 76D99
76A25 Superfluids (classical aspects)76A99, 82D50
New MSC20001991 MSC
76B03 Existence, uniqueness, and regularity theory 35Q35, 76Bxx
76B07 Free-surface potential flows35Q35, 76B10, 76B15, 76B99
76B47 Vortex flows35Q35, 76C05
76B55 Internal waves35Q35, 76C10, 76V05
76B60 Atmospheric waves 76C15, 86A10
76B65 Rossby waves 76C20, 86A05, 86A10
76B70 Stratification effects in inviscid fluids76V05
76B75 Flow control and optimization 49Q10, 76B99, 93C20, 93C95
New MSC20001991 MSC
76D03 Existence, uniqueness, and regularity theory 35Q30, 76D05
76D06 Statistical solutions of Navier-Stokes and related equations 35Q30, 35Q35, 76D05, 76M35, 60H30
76D09 Viscous-inviscid interaction76B99, 76C99, 76D99
76D17 Viscous vortex flows76D05, 76D99
76D27 Other free-boundary flows; Hele-Shaw flows76D99, 76S05
76D50 Stratification effects in viscous fluids76D99, 76V05
76D55 Flow control and optimization 49Q10, 76D99, 93C20, 93C95
New MSC20001991 MSC
76E06 Convection76E99, 76R05, 76R10
76E07 Rotation76E10, 76E99, 76U05
76E09 Stability and instability of nonparallel flows76E99
76E17 Interfacial stability and instability76E10, 76E99
76E19 Compressibility effects76E99, 76N99
New MSC20001991 MSC
76F02 Fundamentals76Fxx
76F06 Transition to turbulence76E99, 76F99
76F25 Turbulent transport, mixing76F99, 76R99
76F30 Renormalization and other field-theoretical methods 76F99, 81T99
76F35 Convective turbulence 76E15, 76F99, 76R99
76F40 Turbulent boundary layers76D10, 76F99, 76N20
76F45 Stratification effects76F99, 76V05
76F50 Compressibility effects76F99, 76N99
76F55 Statistical turbulence modeling 76F99, 76M35, 82C99
76F60 $k$-$\varepsilon$ modeling76F99
76F65 Direct numerical and large eddy simulation of turbulence76F99, 76M25
76F70 Control of turbulent flows76F99, 93C20, 93C95
New MSC20001991 MSC
76M12 Finite volume methods76M25
76M22 Spectral methods76M25
76M23 Vortex methods76M25
76M27 Visualization algorithms76M25
76M28 Particle methods and lattice-gas methods76M25
76M40 Complex-variables methods76M99
76M45 Asymptotic methods, singular perturbations76M99
76M50 Homogenization35B27, 76D30, 76M99
76M55 Dimensional analysis and similarity76M99
76M60 Symmetry analysis, Lie group and algebra methods22E70, 76M99
New MSC20001991 MSC
76N17 Viscous-inviscid interaction76N99
76N25 Flow control and optimization49Q10, 76N99, 93C20, 93C95
New MSC20001991 MSC
76TXX Two-phase and multiphase flows76T05
76T10 Liquid-gas two-phase flows, bubbly flows76D99, 76N99, 76T05
76T15 Dusty-gas two-phase flows76T05
76T20 Suspensions76T05
76T25 Granular flows 73B99, 73E99, 76A99
76T30 Three or more component flows76T05
76T99 None of the above, but in this section76T05
New MSC20001991 MSC
78AXX General78Axx
78A46 Inverse scattering problems78A45
78A48 Composite media; random media78A55
78MXX Basic methods78-08, 78Axx
78M05 Method of moments78-08
78M10 Finite element methods65M60, 65N30, 78-08
78M15 Boundary element methods65N38, 78-08
78M20 Finite difference methods65M06, 65N06, 78-08
78M25 Other numerical methods65Mxx, 65Nxx, 78-08
78M30 Variational methods65Mxx, 65Nxx, 78-08
78M35 Asymptotic analysis65M12, 65N12, 78-08
78M40 Homogenization78-08
78M50 Optimization78-08
78M99 None of the above, but in this section78-08
New MSC20001991 MSC
80AXX Thermodynamics and heat transfer82-XX
80A17 Thermodynamics of continua 73
80MXX Basic methods80-08
80M10 Finite element methods80-08, 65M60, 65N30
80M15 Boundary element methods80-08, 65N38
80M20 Finite difference methods80-08, 65N06, 65M06
80M25 Other numerical methods80-08, 65P05
80M30 Variational methods80-08, 65M99, 65N99
80M35 Asymptotic analysis80-08, 65
80M40 Homogenization80-08, 65
80M50 Optimization80-08, 65K10
80M99 None of the above, but in this section80-08, 65
New MSC20001991 MSC
81P68 Quantum computation and quantum cryptography 81P99
81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.81Q20, 81Q99
81R12 Relations with integrable systems 58F07
81R15 Operator algebra methods 81T05
81R60 Noncommutative geometry58B30
81T45 Topological field theories 81T70, 58D29
81T75 Noncommutative geometry methods 58B30, 81V22, 81T13
81U15 Exactly and quasi-solvable systems82B23
New MSC20001991 MSC
82D37 Semiconductors82D99
83C65 Methods of noncommutative geometry 58B30, 83C99
83C80 Analogues in lower dimensions81T40, 83C99
New MSC20001991 MSC
90B18 Communication networks 90B12
90B36 Scheduling theory, stochastic 90B35, 60K10
New MSC20001991 MSC
90C22 Semidefinite programming90C30
90C46 Optimality conditions, duality 90C30, 49N15
90C47 Minimax problems 49J35, 49K35
90C49 Extreme-point and pivoting methods90C08, 90C30
90C51 Interior-point methods90C05, 90C20, 90C25, 90C30
90C52 Methods of reduced gradient type90C30
90C53 Methods of quasi-Newton type90C30
90C55 Methods of successive quadratic programming type90C30, 90C20
90C56 Derivative-free methods90C30
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut90C27
90C59 Approximation methods and heuristics90C30
New MSC20001991 MSC
91-XX Game theory, economics, social and behavioral sciences90-XX, 92-XX
91-00 General reference works (handbooks, dictionaries, bibliographies, etc.)90-00
91-01 Instructional exposition (textbooks, tutorial papers, etc.)90-01
91-02 Research exposition (monographs, survey articles)90-02
91-03 Historical (must also be assigned at least one classification number from section 01)90-03
91-04 Explicit machine computation and programs (not the theory of computation or programming)90-04
91-06 Proceedings, conferences, collections, etc.90-06
91-08 Computational methods90-08
New MSC20001991 MSC
91AXX Game theory90Dxx
91A05 2-person games90D05
91A06 $n$-person games, $n>2$90D06
91A10 Noncooperative games90D10
91A12 Cooperative games90D12
91A13 Games with infinitely many players90D13
91A15 Stochastic games90D15
91A18 Games in extensive form90D40, 90D99
91A20 Multistage and repeated games90D20
91A22 Evolutionary games90D40, 90D99
91A23 Differential games 90D25
91A24 Positional games (pursuit and evasion, etc.) 90D26, 90D42
91A25 Dynamic games90D25, 90D26
91A26 Rationality, learning90D35, 90D40, 90A05
91A28 Signaling, communication90D40, 90D99
91A30 Utility theory for games 90D35, 90A10
91A35 Decision theory for games 90D35
91A40 Game-theoretic models90D40
91A43 Games involving graphs90D43
91A44 Games involving topology or set theory90D44
91A46 Combinatorial games90D46
91A50 Discrete-time games90D50
91A55 Games of timing90D55
91A60 Probabilistic games; gambling90D60
91A65 Hierarchical games90D65
91A70 Spaces of games90D70
91A80 Applications of game theory90D80
91A90 Experimental studies90D99
91A99 None of the above, but in this section90D99
New MSC20001991 MSC
91BXX Mathematical economics 90Axx
91B02 Fundamental topics (basic mathematics, methodology; applicable to economics in general)90A05, 90A99
91B06 Decision theory 90A05
91B08 Individual preferences90A06
91B10 Group preferences90A07
91B12 Voting theory90A28
91B14 Social choice90A08
91B16 Utility theory90A10
91B18 Public goods90A27
91B24 Price theory and market structure90A12
91B26 Market models (auctions, bargaining, bidding, selling, etc.)90A60
91B28 Finance, portfolios, investment90A09
91B30 Risk theory, insurance90A46
91B32 Resource and cost allocation90A80
91B38 Production theory, theory of the firm90A11
91B40 Labor market, contracts90A50
91B42 Consumer behavior, demand theory90A40
91B44 Informational economics90A35
91B50 Equilibrium: general theory90A14
91B52 Special types of equilibria90A56
91B54 Special types of economies90A53
91B60 General economic models, trade models90A15
91B62 Dynamic economic models, growth models90A16
91B64 Macro-economic models (monetary models, models of taxation)90A70
91B66 Multisectoral models90A17
91B68 Matching models90A99
91B70 Stochastic models90A19
91B72 Spatial models90A25
91B74 Models of real-world systems90A58
91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)90A30
91B82 Statistical methods; economic indices and measures90A19
91B84 Economic time series analysis 90A20
91B99 None of the above, but in this section90A99
New MSC20001991 MSC
91CXX Social and behavioral sciences: general topics 92Gxx
91C05 Measurement theory92G05
91C15 One- and multidimensional scaling92G15
91C20 Clustering 92G30
91C99 None of the above, but in this section92G99
New MSC20001991 MSC
91DXX Mathematical sociology (including anthropology)92Hxx
91D10 Models of societies, social and urban evolution92H10
91D20 Mathematical geography and demography92H20
91D25 Spatial models 92H25
91D30 Social networks92H30
91D35 Manpower systems 92H35
91D99 None of the above, but in this section92H99
New MSC20001991 MSC
91EXX Mathematical psychology92Jxx
91E10 Cognitive psychology92J10
91E30 Psychophysics and psychophysiology; perception92J30
91E40 Memory and learning 92J40
91E45 Measurement and performance92J45
91E99 None of the above, but in this section92J99
New MSC20001991 MSC
91FXX Other social and behavioral sciences (mathematical treatment)92Kxx
91F10 History, political science92K10
91F20 Linguistics 92K20
91F99 None of the above, but in this section92K99
New MSC20001991 MSC
92C17 Cell movement (chemotaxis, etc.)92C30, 92C45, 92C99, 92D50
92C37 Cell biology92C30, 92C40, 92C99
92C80 Plant biology92C99
New MSC20001991 MSC
93C23 Systems governed by functional-differential equations 93C22, 49J25, 49K25
93C65 Discrete event systems93C55, 93C83
New MSC20001991 MSC
94A08 Image processing (compression, reconstruction, etc.) 94A12, 68U10
94A20 Sampling theory42A32, 42C10
94A62 Authentication and secret sharing94A60
Section 97 is a new area not covered in the 1991 MSC. It is not planned that it be used as a primary classification.