Contemporary Mathematics 1991; 333 pp; softcover Volume: 118 ISBN10: 0821851268 ISBN13: 9780821851265 List Price: US$59 Member Price: US$47.20 Order Code: CONM/118
 Probability theory has always been an active field of research in China, but, until recently, almost all of this research was written in Chinese. This book contains surveys by some of China's leading probabilists, with a fairly complete coverage of theoretical probability and selective coverage of applied topics. The purpose of the book is to provide an account of the most significant results in probability obtained in China in the past few decades and to promote communication between probabilists in China and those in other countries. This collection will be of interest to graduate students and researchers in mathematics and probability theory, as well as to researchers in such areas as physics, engineering, biochemistry, and information science. Among the topics covered here are: stochastic analysis, stochastic differential equations, Dirichlet forms, Brownian motion and diffusion, potential theory, geometry of manifolds, semimartingales, jump Markov processes, interacting particle systems, entropy production of Markov processes, renewal sequences and \(p\)functions, multiparameter stochastic processes, stationary random fields, limit theorems, strong approximations, large deviations, stochastic control systems, and probability problems in information theory. Table of Contents  H.F. Chen and L. Guo  Stochastic control systems
 M.F. Chen and S.J. Yan  Jump processes and particle systems
 P.D. Chen  Multiparameter stochastic processes
 T.P. Chiang  Stationary random field: predication theory, Markov model, limit theorems
 S.W. He and J.G. Wang  Some results of semimartingales and jump processes
 Z.T. Hou  \(Q\)matrix problem
 D.H. Hu, L.Q. Lu, and F.Q. Gao  Summary of recent research accomplishments in Markov processes and Markov fields at Wuhan University
 G.D. Hu, Z.Z. Zhang, and S.Y. Shen  The study and developments of probability problems in information theory in China
 Z.Y. Huang  Some recent development of stochastic calculus in China
 Z.S. Liang and Z.R. Huang  Renewal sequences, \(p\)functions, their extensions and the related topics
 M. Liao  Brownian motions and geometry of manifolds
 Z.Y. Lin, C.R. Lu, and Q.M. Shao  Contribution to the limit theorems
 Z.M. Ma  Some new results concerning Dirichlet forms, FeynmanKac semigroups and Schrödinger equations
 M.P. Qian, G.L. Gong, and M. Qian  The reversibility and the entropy production of Markov processes
 R. Situ  Theory and applications of stochastic differential equations in China
 Z.Q. Wu, X.C. Wang, X.Y. Yang, and D.L. Li  Some recent results on the strong LLN and LIL in Banach spaces
 J.A. Yan  A review of studies in probability theory and stochastic analysis
 W.A. Zheng  On symmetric diffusion processes
