46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} 126855

46T12 Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds [See also 28Cxx, 46G12, 60-XX] 123

60-XX Probability theory and stochastic processes {For additional applications, see 05Cxx, 11Kxx, 34-XX, 35-XX, 62-XX, 90-XX, 76-XX, 81-XX, 82-XX, 91-XX, 92-XX, 93-XX, 94-XX} 210796

60-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to probability theory 70

60-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory 2279

60-03 History of probability theory [Consider also classification numbers pertaining to Section 01-XX] 1091

60G35 Signal detection and filtering (aspects of stochastic processes) [See also 62M20, 93E10, 93E11, 94Axx] 5493

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) [See also 34F05] 15935

60H15 Stochastic partial differential equations (aspects of stochastic analysis) [See also 35R60] 8772

60H35 Computational methods for stochastic equations (aspects of stochastic analysis) [See also 65C30] 2844

60J20 Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) [See also 90B30, 91D10, 91E40] 3686

60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) [See also 92Dxx] 3066

60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.) [See also 90Bxx] 2497

60K30 Applications of queueing theory (congestion, allocation, storage, traffic, etc.) [See also 90Bxx] 2062

60K35 Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 10417

60K50 Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) [See also 60G22, 60G55, 60J74, 60J76] {For applications to physics and the sciences, see 76-XX, 82Cxx, 92-XX} 19

65C20 Probabilistic models, generic numerical methods in probability and statistics [See also 60-08, 62-08] 4439