80 Global analysis, analysis on manifolds58Hxx Pseudogroups, differentiable groupoidsand general structures on manifolds58H05 Pseudogroups and differentiable groupoids[See also 22A22, 22E65]58H10 Cohomology of classifying spacesfor pseudogroup structures (Spencer,Gelfand-Fuks, etc.) [See also 57R32]58H15 Deformations of structures[See also 32Gxx, 58J10]58H99 None of the above, but in this section58Jxx Partial differential equations on manifolds;differential operators[See also 32Wxx, 35-XX, 53Cxx]58J05 Elliptic equations on manifolds, generaltheory [See also 35-XX]58J10 Differential complexes [See also 35Nxx];elliptic complexes58J15 Relations with hyperfunctions58J20 Index theory and related fixed point theorems[See also 19K56, 46L80]58J22 Exotic index theories [See also 19K56,46L05, 46L10, 46L80, 46M20]58J26 Elliptic genera58J28 Eta-invariants, Chern-Simons invariants58J30 Spectral flows58J32 Boundary value problems on manifolds58J35 Heat and other parabolic equation methods58J37 Perturbations; asymptotics58J40 Pseudodifferential and Fourier integraloperators on manifolds [See also 35Sxx]58J42 Noncommutative global analysis, noncommutativeresidues58J45 Hyperbolic equations [See also 35Lxx]58J47 Propagation of singularities; initial valueproblems58J50 Spectral problems; spectral geometry;scattering theory [See also 35Pxx]58J51 Relations between spectral theory andergodic theory, e.g. quantum unique ergodicity58J52 Determinants and determinantbundles, analytic torsion58J53 Isospectrality58J55 Bifurcation [See also 35B32]58J60 Relations with special manifold structures(Riemannian, Finsler, etc.)58J65 Diffusion processes and stochastic analysison manifolds[See also 35R60, 60H10, 60J60]58J70 Invariance and symmetry properties[See also 35A30]58J72 Correspondences and other transformationmethods (e.g. Lie-Bäcklund)[See also 35A22]58J90 Applications58J99 None of the above, but in this section58Kxx Theory of singularities and catastrophetheory [See also 32Sxx, 37-XX]58K05 Critical points of functions andmappings58K10 Monodromy58K15 Topological properties of mappings58K20 Algebraic and analytic propertiesof mappings58K25 Stability58K30 Global theory58K35 Catastrophe theory58K40 Classification; finite determinacy of mapgerms58K45 Singularities of vector fields, topologicalaspects58K50 Normal forms58K55 Asymptotic behavior58K60 Deformation of singularities58K65 Topological invariants58K70 Symmetries, equivariance58K99 None of the above, but in this section58Zxx Applications to physics58Z05 Applications to physics58Z99 None of the above, but in this section
Probability theory and stochastic processes 8160-XX Probability theory and stochasticprocesses (For additional applications,see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX)60-00 General reference works (handbooks,dictionaries, bibliographies, etc.)60-01 Instructional exposition(textbooks, tutorial papers, etc.)60-02 Research exposition (monographs,survey articles)60-03 Historical (must also be assigned at leastone classification number from Section01)60-04 Explicit machine computation and programs(not the theory of computation orprogramming)60-06 Proceedings, conferences, collections,etc.60-08 Computational methods (not classifiedat a more specific level) [See also 65C50]60Axx Foundations of probability theory60A05 Axioms; other general questions60A10 Probabilistic measure theory (For ergodictheory, see 28Dxx and 60Fxx)60A86 Fuzzy probability60A99 None of the above, but in this section60Bxx Probability theory on algebraic andtopological structures60B05 Probability measures on topologicalspaces60B10 Convergence of probability measures60B11 Probability theory on linear topologicalspaces [See also 28C20]60B1260B1560B2060B99Limit theorems for vector-valued randomvariables (infinite-dimensionalcase)Probability measures on groups or semigroups,Fourier transforms, factorizationRandom matrices (probabilistic aspects;for algebraic aspects see 15B52)None of the above, but in this section60Cxx Combinatorial probability60C05 Combinatorial probability60C99 None of the above, but in this section60Dxx Geometric probability and stochasticgeometry [See also 52A22, 53C65]60D05 Geometric probability and stochasticgeometry [See also 52A22, 53C65]60D99 None of the above, but in this section60Exx60E0560E0760E1060E1560E99Distribution theory[See also 62Exx, 62Hxx]Distributions: general theoryInfinitely divisible distributions;stable distributionsCharacteristic functions;other transformsInequalities; stochastic orderingsNone of the above, but in this section60Fxx Limit theorems [See also 28Dxx, 60B12]60F05 Central limit and other weak theorems60F10 Large deviations60F15 Strong theorems60F17 Functional limit theorems;invariance principles60F20 Zero-one laws60F25 L p -limit theorems60F99 None of the above, but in this section60Gxx Stochastic processes60G05 Foundations of stochastic processes60G07 General theory of processes60G09 Exchangeability60G10 Stationary processes60G12 General second-order processes60G15 Gaussian processes60G17 Sample path properties60G18 Self-similar processes60G20 Generalized stochastic processes60G22 Fractional processes, includingfractional Brownian motion60G25 Prediction theory [See also 62M20]60G30 Continuity and singularity of inducedmeasures60G35 Signal detection and filtering[See also 62M20, 93E10, 93E11, 94Axx]60G40 Stopping times; optimal stopping problems;gambling theory[See also 62L15, 91A60]60G42 Martingales with discrete parameter
- Page 1 and 2:
ZentralblattMATHMathematics Subject
- Page 3:
Mathematics Subject Classification
- Page 6 and 7:
2 Mathematical logic and foundation
- Page 8 and 9:
4 Combinatorics03E5703E6003E6503E70
- Page 10 and 11:
6 Order, lattices, ordered algebrai
- Page 12 and 13:
8 Number theory11-XX Number theory1
- Page 14 and 15:
10 Number theory11G15 Complex multi
- Page 16 and 17:
12 Number theory11P8311P8411P99Part
- Page 18 and 19:
14 Commutative algebra12J1512J1712J
- Page 20 and 21:
16 Algebraic geometry13N05 Modules
- Page 22 and 23:
18 Algebraic geometry14H40 Jacobian
- Page 24 and 25:
20 Associative rings and algebras15
- Page 26 and 27:
22 Associative rings and algebras16
- Page 28 and 29:
24 Category theory; homological alg
- Page 30 and 31:
26 K-theory19-XX K-theory [See also
- Page 32 and 33:
28 Group theory and generalizations
- Page 34 and 35: 30 Topological groups, Lie groups20
- Page 36 and 37: 32 Real functions26Axx Functions of
- Page 38 and 39: 34 Functions of a complex variable2
- Page 40 and 41: 36 Several complex variables and an
- Page 42 and 43: 38 Several complex variables and an
- Page 44 and 45: 40 Special functions32Txx Pseudocon
- Page 46 and 47: 42 Ordinary differential equations3
- Page 48 and 49: 44 Partial differential equations34
- Page 50 and 51: 46 Partial differential equations35
- Page 52 and 53: 48 Partial differential equations35
- Page 54 and 55: 50 Dynamical systems and ergodic th
- Page 56 and 57: 52 Dynamical systems and ergodic th
- Page 58 and 59: 54 Sequences, series, summability39
- Page 60 and 61: 56 Harmonic analysis on Euclidean s
- Page 62 and 63: 58 Integral equations44Axx Integral
- Page 64 and 65: 60 Functional analysis46A32 Spaces
- Page 66 and 67: 62 Functional analysis46Kxx Topolog
- Page 68 and 69: 64 Operator theory47A60 Functional
- Page 70 and 71: 66 Calculus of variations and optim
- Page 72 and 73: 68 Geometry49Rxx Variational method
- Page 74 and 75: 70 Convex and discrete geometry51Px
- Page 76 and 77: 72 General topology53C21 Methods of
- Page 78 and 79: 74 Algebraic topology54E2054E2554E3
- Page 80 and 81: 76 Manifolds and cell complexes55R5
- Page 82 and 83: 78 Global analysis, analysis on man
- Page 86 and 87: 82 Probability theory and stochasti
- Page 88 and 89: 84 Statistics62H12 Estimation62H15
- Page 90 and 91: 86 Numerical analysis65F5065F6065F9
- Page 92 and 93: 88 Computer science68-04 Explicit m
- Page 94 and 95: 90 Mechanics of particles and syste
- Page 96 and 97: 92 Mechanics of deformable solids74
- Page 98 and 99: 94 Fluid mechanics76-04 Explicit ma
- Page 100 and 101: 96 Optics, electromagnetic theory76
- Page 102 and 103: 98 Quantum theory81P40 Quantum cohe
- Page 104 and 105: 100 Relativity and gravitational th
- Page 106 and 107: 102 Operations research, mathematic
- Page 108 and 109: 104 Game theory, economics, social
- Page 110 and 111: 106 Systems theory; control92Fxx92F
- Page 112 and 113: 108 Mathematics education94B7594B99
- Page 114: 110 Mathematics education97P4097P50