35th@MSC2020-5：应用数学/其他@20260222

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} 60-00 General reference works (handbooks, dictionaries,bibliographies, etc.) pertaining to probability theory 60-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory 60-02 Research exposition (monographs, survey articles)pertaining to probability theory 60-03 History of probability theory [Consider also classification numbers pertaining to Section 01] 60-04 Software, source code, etc. for problems pertaining to probability theory 60-06 Proceedings, conferences, collections, etc. pertaining to probability theory 60-08 Computational methods for problems pertainingto probability theory 60-11 Research data for problems pertaining to probability theory	60-XX概率论与随机过程 {如需补充说明应用程序，参见05Cxx、11Kxx、34-XX, 35-XX, 62-XX, 90-XX, 76-XX, 81-XX, 82-XX, 91-XX, 92-XX, 93-XX, 94-XX} 60-00 概率论相关通用参考文献（手册、词典、书目等） 60-01 导论性阐述（教材、教程论文，等) 有关概率论的 60-02 概率论研究性专题报告（专著、综述） 60-03 概率论史 [另见分类与第01节相关的数字 60-04 软件、源代码等相关问题关于概率论 60-06 会议记录、会议资料、文集等关于概率论 60-08 概率论相关问题的计算方法 60-11 概率相关问题的研究数据理论
60Axx Foundations of probability theory 60A05 Axioms; other general questions in probability 60A10 Probabilistic measure theory {For ergodic theory,see 28Dxx, 60Fxx} 60A86 Fuzzy probability 60A99 None of the above, but in this section	60Axx 概率论基础 60A05 基本公理；概率论中的其他一般性问题 60A10 概率测度论 {关于遍历理论，参见28Dxx、60Fxx} 60A86 模糊概率 60A99 上述均非，但本节适用
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 or semigroups,Fourier transforms, factorization 60B20 Random matrices (probabilistic aspects) {For algebraic aspects, see 15B52} 60B99 None of the above, but in this section	60Bxx 代数概率论和拓扑结构 60B05 拓扑空间上的概率测度 60B10 概率测度的收敛性 60B11 线性拓扑空间的概率论[另见28C20] 60B12 向量值随机变量的极限定理（无限维情形） 60B15 群或半群上的概率测度、傅里叶变换、因子分解 60B20 随机矩阵（概率论方面）{代数方面，见15B52} 60B99 以上均非，但本节适用
60Cxx Combinatorial probability 60C05 Combinatorial probability 60C99 None of the above, but in this section	60Cxx 组合概率 60C05 组合概率 60C99 以上均非，但本节适用
60Dxx Geometric probability and stochastic geometry [See also 52A22, 53C65] 60D05 Geometric probability and stochastic geometry[See also 52A22, 53C65] 60D99 None of the above, but in this section	60Dxx 几何概率与随机几何学[另见52A22、53C65] 60D05 几何概率与随机几何[另见 52A22、53C65] 60D99 以上均非，但本节适用
60Exx Distribution theory [See also 62Exx, 62Hxx] 60E05 Probability distributions: general theory 60E07 Infinitely divisible distributions; stable distribu-tions 60E10 Characteristic functions; other transforms 60E15 Inequalities; stochastic orderings 60E99 None of the above, but in this section	60Exx 分布理论 [另见62Exx, 62Hxx] 60E05 概率分布：一般理论 60E07 无限可分分布；稳定分布 60E10 特征函数；其他变换 60E15 不等式；随机排序 60E99 以上均非，但本节
60Fxx Limit theorems in probability theory[See also 28Dxx, 60B12] 60F05 Central limit and other weak theorems 60F10 Large deviations 60F15 Strong limit theorems 60F17 Functional limit theorems; invariance principles60F20 Zero-one laws 60F25 Lp-limit theorems 60F99 None of the above, but in this section	60Fxx 概率论中的极限定理[另见28Dxx、60B12] 60F05 中心极限定理及其他弱定理 60F10 大偏差 60F15 强极限定理 60F17 函数极限定理与不变性原理 60F20 零一定律 60F25 Lp-极限定理 60F99 以上均非，但本节适用
60Gxx Stochastic processes 60G05 Foundations of stochastic processes 60G07 General theory of stochastic processes 60G09 Exchangeability for stochastic processes 60G10 Stationary stochastic processes 60G12 General second-order stochastic processes 60G15 Gaussian processes 60G17 Sample path properties 60G18 Self-similar stochastic processes 60G20 Generalized stochastic processes 60G22 Fractional processes, including fractional Brownian motion 60G25 Prediction theory (aspects of stochastic processes)[See also 62M20] 60G30 Continuity and singularity of induced measures60G35 Signal detection and filtering (aspects of stochastic processes) [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; randomwalks 60G51 Processes with independent increments; L´evyprocesses 60G52 Stable stochastic processes 60G53 Feller processes 60G55 Point processes (e.g., Poisson, Cox, Hawkes pro-cesses) 60G57 Random measures 60G60 Random fields 60G65 Nonlinear processes (e.g., G-Brownian motion,G-L´evy processes) 60G70 Extreme value theory; extremal stochastic processes 60G99 None of the above, but in this section	60Gxx 随机过程 60G05 随机过程基础 60G07 随机过程通论 60G09随机过程的可交换性 60G10 静态随机过程 60G12 一般二阶随机过程 60G15高斯过程 60G17 样品路径特性 60G18自相似随机过程 60G20 一般随机过程 60G22 分数过程，包括分数布朗运动 运动 60G25 预测理论（随机过程的方面）[另见62M20] 60G30 诱导测度的连续性与奇点60G35 信号检测与滤波（随机过程的若干方面）过程）[另见62M20、93E10、93E11、94Axx] 60G40 停止时间；最优停止问题；赌博理论 [另见62L15,91A60] 60G42 离散参数的Martingales 60G44 连续参数马丁格尔策略 60G46 马丁格尔与古典分析 60G48 马丁格尔的推广 60G50 独立随机变量之和；随机游走 60G51 独立增量过程；L‘evy过程 60G52 稳定随机过程 60G53 费勒过程 60G55 点过程（如泊松过程、Cox过程、Hawkes过程） 60G57 随机措施 60G60 随机字段 60G65 非线性过程（如G-布朗运动、G-莱维过程） 60G70 极值理论； 极值随机过程 60G99 无上述情况，但本节
60Hxx Stochastic analysis [See also 58J65] 60H05 Stochastic integrals 60H07 Stochastic calculus of variations and the Malliavin calculus 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) [See also 34F05] 60H15 Stochastic partial differential equations (aspectsof stochastic analysis) [See also 35R60] 60H17 Singular stochastic partial differential equations60H20 Stochastic integral equations 60H25 Random operators and equations (aspects ofstochastic analysis) [See also 47B80] 60H30 Applications of stochastic analysis (to PDEs,etc.) 60H35 Computational methods for stochastic equations(aspects of stochastic analysis) [See also 65C30] 60H40 White noise theory 60H50 Regularization by noise 60H99 None of the above, but in this section	60Hxx 随机分析 [另见 58J65] 60H05 随机积分 60H07 随机变分法与Malliavin微积分 60H10 随机常微分方程（概论）随机分析）[另见34F05] 60H15 随机偏微分方程（随机分析方面）[另见35R60] 60H17 奇异性随机偏微分方程 60H20 随机积分方程 60H25 随机算子与方程（随机分析的若干方面）[另见47B80] 60H30 随机分析的应用（针对偏微分方程等） 60H35 随机方程的计算方法（随机分析的若干方面）[另见65C30] 60H40 白噪声理论 60H50 噪声正则化 60H99 以上均非，但本节适用
60Jxx Markov processes 60J05 Discrete-time Markov processes on general state spaces 60J10 Markov chains (discrete-time Markov processes on discrete state spaces) 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] 60J22 Computational methods in Markov chains [See also 65C40] 60J25 Continuous-time Markov processes on general state spaces 60J27 Continuous-time Markov processes on discrete state spaces 60J28 Applications of continuous-time Markov processes on discrete state spaces 60J35 Transition functions, generators and resolvents [See also 47D03, 47D07] 60J40 Right processes 60J45 Probabilistic potential theory [See also 31Cxx,31D05] 60J46 Dirichlet form methods in Markov processes 60J50 Boundary theory for Markov processes 60J55 Local time and additive functionals 60J57 Multiplicative functionals and Markov processes 60J60 Diffusion processes [See also 58J65] 60J65 Brownian motion [See also 58J65] 60J67 Stochastic (Schramm-)Loewner evolution (SLE) 60J68 Superprocesses 60J70 Applications of Brownian motions and diffusiontheory (population genetics, absorption problems,etc.) [See also 92Dxx] 60J74 Jump processes on discrete state spaces 60J76 Jump processes on general state spaces 60J80 Branching processes (Galton-Watson, birth-and-death, etc.) 60J85 Applications of branching processes [See also92Dxx] 60J90 Coalescent processes 60J95 Applications of coalescent processes [See also92Dxx] 60J99 None of the above, but in this section	60Jxx 马尔可夫过程 60J05 一般状态下的离散时间马尔可夫过程空间 60J10 马尔可夫链（离散时间马尔可夫过程）离散状态空间 60J20 马尔可夫链与离散时间的应用 一般状态空间上的马尔可夫过程（社会流动性、学习理论、工业流程等。) [另见90B30、91D10、91E40] 60J22 马尔可夫链中的计算方法 [参见也见于65C40] 一般情形下的60J25连续时间马尔可夫过程状态空间 60J27 离散连续时间马尔可夫过程状态空间 连续时间马尔可夫过程在60J28中的应用离散状态空间上的 60J35 过渡函数、生成器与解析器[另见47D03、47D07] 60J40 正确工艺 60J45 概率势理论 [另见 31Cxx，31D05] 60J46 马尔可夫过程中的Dirichlet形式方法 60J50 马尔可夫过程的边界理论 60J55局域时间和加性泛函 60J57 乘性泛函与马尔可夫过程60J60 扩散过程[另见58J65] 60J65 布朗运动 [另见 58J65] 60J67 随机（Schramm）-Loewner演化（SLE）60J68 超过程 60J70 布朗运动与扩散理论的应用（群体遗传学、吸收问题等）[另见92Dxx] 60J74 离散状态空间上的跳跃过程  60J76一般状态空间上的跃迁过程 60J80 分支过程（高尔顿-沃森，出生-死亡，等) 60J85 分支过程的应用 [另见92Dxx] 60J90 融合过程 60J95 融合过程的应用 [另见92Dxx] 60J99 上述均非，但本节