Probability theory and its applications in China
著者
書誌事項
Probability theory and its applications in China
（Contemporary mathematics, 118）
American Mathematical Society, c1991
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内容説明・目次
内容説明
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, semi-martingales, jump Markov processes, interacting particle systems, entropy production of Markov processes, renewal sequences and $p$-functions, multi-parameter stochastic processes, stationary random fields, limit theorems, strong approximations, large deviations, stochastic control systems, and probability problems in information theory.
目次
Stochastic control systems by H.-F. Chen and L. Guo Jump processes and particle systems by M.-F. Chen and S.-J. Yan Multi-parameter stochastic processes by P.-D. Chen Stationary random field: predication theory, Markov model, limit theorems by T.-P. Chiang Some results of semimartingales and jump processes by S.-W. He and J.-G. Wang $Q$-matrix problem by Z.-T. Hou Summary of recent research accomplishments in Markov processes and Markov fields at Wuhan University by D.-H. Hu, L.-Q. Lu, and F.-Q. Gao The study and developments of probability problems in information theory in China by G.-D. Hu, Z.-Z. Zhang, and S.-Y. Shen Some recent development of stochastic calculus in China by Z.-Y. Huang Renewal sequences, $p$-functions, their extensions and the related topics by Z.-S. Liang and Z.-R. Huang Brownian motions and geometry of manifolds by M. Liao Contribution to the limit theorems by Z.-Y. Lin, C.-R. Lu, and Q.-M. Shao Some new results concerning Dirichlet forms, Feynman-Kac semigroups and Schrodinger equations by Z.-M. Ma The reversibility and the entropy production of Markov processes by M.-P. Qian, G.-L. Gong, and M. Qian Theory and applications of stochastic differential equations in China by R. Situ Some recent results on the strong LLN and LIL in Banach spaces by Z.-Q. Wu, X.-C. Wang, X.-Y. Yang, and D.-L. Li A review of studies in probability theory and stochastic analysis by J.-A. Yan On symmetric diffusion processes by W.-A. Zheng.
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