60-XX	Probability theory and stochastic processes {For additional applications, see 11Kxx, 62-XX, 90-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 least one classification number from section 01}
60-04	Explicit machine computation and programs (not the theory of computation or programming)
60-06	Proceedings, conferences, collections, etc.
60-08	Computational methods {!not classified at a more specific level} [See also 65C50]
60Axx	Foundations of probability theory
60A05	Axioms; other general questions
60A10	Probabilistic measure theory {For ergodic theory, see 28Dxx and 60Fxx}
60A99	None of the above, but in this section
60Bxx	Probability theory on algebraic and topological structures
60B05	Probability measures on topological spaces
60B10	Convergence of probability measures
60B11	Probability theory on linear topological spaces [See also 28C20]
60B12	Limit theorems for vector-valued random variables (infinite-dimensional case)
60B15	Probability measures on groups, Fourier transforms, factorization
60B99	None of the above, but in this section
60C05	Combinatorial probability
60D05	Geometric probability, stochastic geometry, random sets [See also 52A22, 53C65]
60Exx	Distribution theory [See also 62Exx, 62Hxx]
60E05	Distributions: general theory
60E07	Infinitely divisible distributions; stable distributions
60E10	Characteristic functions; other transforms
60E15	Inequalities; stochastic orderings
60E99	None of the above, but in this section
60Fxx	Limit theorems [See also 28Dxx, 60B12]
60F05	Central limit and other weak theorems
60F10	Large deviations
60F15	Strong theorems
60F17	Functional limit theorems; invariance principles
60F20	Zero-one laws
60F25	Lp-limit theorems
60F99	None of the above, but in this section
60Gxx	Stochastic processes
60G05	Foundations of stochastic processes
60G07	General theory of processes
60G09	Exchangeability
60G10	Stationary processes
60G12	General second-order processes
60G15	Gaussian processes
60G17	Sample path properties
60G18	Self-similar processes
60G20	Generalized stochastic processes
60G25	Prediction theory [See also 62M20]
60G30	Continuity and singularity of induced measures
60G35	Applications (signal detection, filtering, etc.) [See also 62M20, 93E10, 93E11, 94Axx]
60G40	Stopping times; optimal stopping problems; gambling theory [See also 62L15, 91A60]
60G42	Martingales with discrete parameter
60G44	Martingales with continuous parameter
60G46	Martingales and classical analysis
60G48	Generalizations of martingales
60G50	Sums of independent random variables; random walks
60G51	Processes with independent increments
60G52	Stable processes
60G55	Point processes
60G57	Random measures
60G60	Random fields
60G70	Extreme value theory; extremal processes
60G99	None of the above, but in this section
60Hxx	Stochastic analysis [See also 58J65]
60H05	Stochastic integrals
60H07	Stochastic calculus of variations and the Malliavin calculus
60H10	Stochastic ordinary differential equations [See also 34F05]
60H15	Stochastic partial differential equations [See also 35R60]
60H20	Stochastic integral equations
60H25	Random operators and equations [See also 47B80]
60H30	Applications of stochastic analysis (to PDE, etc.)
60H35	Computational methods for stochastic equations [See also 65C30]
60H40	White noise theory
60H99	None of the above, but in this section
60Jxx	Markov processes
60J05	Markov processes with discrete parameter
60J10	Markov chains with discrete parameter
60J20	Applications of discrete Markov processes (social mobility, learning theory, industrial processes, etc.) [See also 90B30, 91D10, 91D35, 91E40]
60J22	Computational methods in Markov chains [See also 65C40]
60J25	Markov processes with continuous parameter
60J27	Markov chains with continuous parameter
60J35	Transition functions, generators and resolvents [See also 47D03, 47D07]
60J40	Right processes
60J45	Probabilistic potential theory [See also 31Cxx, 31D05]
60J50	Boundary theory
60J55	Local time and additive functionals
60J57	Multiplicative functionals
60J60	Diffusion processes [See also 58J65]
60J65	Brownian motion [See also 58J65]
60J70	Applications of diffusion theory (population genetics, absorption problems, etc.) [See also 92Dxx]
60J75	Jump processes
60J80	Branching processes (Galton - Watson, birth-and-death, etc.)
60J85	Applications of branching processes [See also 92Dxx]
60J99	None of the above but in this section
60Kxx	Special processes
60K05	Renewal theory
60K10	Applications (reliability, demand theory, etc.)
60K15	Markov renewal processes, semi-Markov processes
60K20	Applications of Markov renewal processes (reliability, queueing networks, etc.) [See also 90Bxx]
60K25	Queueing theory [See also 68M20, 90B22]
60K30	Applications (congestion, allocation, storage, traffic, etc.) [See also 90Bxx]
60K35	Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
60K37	Processes in random environments
60K40	Other physical applications of random processes
60K99	None of the above, but in this section