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Probability Theory and Its Applications in China
 
Front Cover for Probability Theory and Its Applications in China
Available Formats:
Electronic ISBN: 978-0-8218-7706-7
Product Code: CONM/118.E
333 pp 
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $49.60
Front Cover for Probability Theory and Its Applications in China
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  • Front Cover for Probability Theory and Its Applications in China
  • Back Cover for Probability Theory and Its Applications in China
Probability Theory and Its Applications in China
Available Formats:
Electronic ISBN:  978-0-8218-7706-7
Product Code:  CONM/118.E
333 pp 
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $49.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1181991
    MSC: Primary 93; 60;

    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.

  • Table of Contents
     
     
    • Articles
    • Han Fu Chen and Lei Guo - Stochastic control systems [ MR 1137961 ]
    • Mu Fa Chen and Shi Jian Yan - Jump processes and particle systems [ MR 1137962 ]
    • Pei De Chen - Multi-parameter stochastic processes [ MR 1137963 ]
    • Tse Pei Chiang - Stationary random field: prediction theory, Markov models, limit theorems [ MR 1137964 ]
    • Sheng Wu He and Jia Gang Wang - Some results of semimartingales and jump processes [ MR 1137965 ]
    • Zhen Ting Hou - $Q$-matrix problem [ MR 1137966 ]
    • Di He Hu, Lu Qin Liu and Fu Qing Gao - Summary of recent research accomplishments in Markov processes and Markov fields at Wuhan University [ MR 1137967 ]
    • Guo Ding Hu, Zhao Zhi Zhang and Shi Yi Shen - The study and development of probability problems in information theory in China [ MR 1137968 ]
    • Zhi Yuan Huang - Some recent development of stochastic calculus in China [ MR 1137969 ]
    • Zhi Shun Liang and Zhi Rui Huang - Renewal sequences, $p$-functions, their extensions and related topics [ MR 1137970 ]
    • Ming Liao - Brownian motions and the geometry of manifolds [ MR 1137971 ]
    • Zheng Yan Lin, Chuan Rong Lu and Qi Man Shao - Contribution to the limit theorems [ MR 1137972 ]
    • Zhi Ming Ma - Some new results concerning Dirichlet forms, Feynman-Kac semigroups and Schrödinger equations [ MR 1137973 ]
    • Min Ping Qian, Min Qian and Guang Lu Gong - The reversibility and the entropy production of Markov processes [ MR 1137974 ]
    • Rong Situ - Theory and application of stochastic differential equations in China [ MR 1137975 ]
    • Rong Wu and Qing Ji Yang - Progress concerning Brownian motion and classical potential theory in China [ MR 1137976 ]
    • Zhi Quan Wu, Xiang Chen Wang, Xiao Yun Yang and De Li Li - Some recent results on the strong LLN and the LIL in Banach spaces [ MR 1137977 ]
    • Jia An Yan - A review of studies in probability theory and stochastic analysis [ MR 1137978 ]
    • Wei An Zheng - On symmetric diffusion processes [ MR 1137979 ]
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Volume: 1181991
MSC: Primary 93; 60;

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.

  • Articles
  • Han Fu Chen and Lei Guo - Stochastic control systems [ MR 1137961 ]
  • Mu Fa Chen and Shi Jian Yan - Jump processes and particle systems [ MR 1137962 ]
  • Pei De Chen - Multi-parameter stochastic processes [ MR 1137963 ]
  • Tse Pei Chiang - Stationary random field: prediction theory, Markov models, limit theorems [ MR 1137964 ]
  • Sheng Wu He and Jia Gang Wang - Some results of semimartingales and jump processes [ MR 1137965 ]
  • Zhen Ting Hou - $Q$-matrix problem [ MR 1137966 ]
  • Di He Hu, Lu Qin Liu and Fu Qing Gao - Summary of recent research accomplishments in Markov processes and Markov fields at Wuhan University [ MR 1137967 ]
  • Guo Ding Hu, Zhao Zhi Zhang and Shi Yi Shen - The study and development of probability problems in information theory in China [ MR 1137968 ]
  • Zhi Yuan Huang - Some recent development of stochastic calculus in China [ MR 1137969 ]
  • Zhi Shun Liang and Zhi Rui Huang - Renewal sequences, $p$-functions, their extensions and related topics [ MR 1137970 ]
  • Ming Liao - Brownian motions and the geometry of manifolds [ MR 1137971 ]
  • Zheng Yan Lin, Chuan Rong Lu and Qi Man Shao - Contribution to the limit theorems [ MR 1137972 ]
  • Zhi Ming Ma - Some new results concerning Dirichlet forms, Feynman-Kac semigroups and Schrödinger equations [ MR 1137973 ]
  • Min Ping Qian, Min Qian and Guang Lu Gong - The reversibility and the entropy production of Markov processes [ MR 1137974 ]
  • Rong Situ - Theory and application of stochastic differential equations in China [ MR 1137975 ]
  • Rong Wu and Qing Ji Yang - Progress concerning Brownian motion and classical potential theory in China [ MR 1137976 ]
  • Zhi Quan Wu, Xiang Chen Wang, Xiao Yun Yang and De Li Li - Some recent results on the strong LLN and the LIL in Banach spaces [ MR 1137977 ]
  • Jia An Yan - A review of studies in probability theory and stochastic analysis [ MR 1137978 ]
  • Wei An Zheng - On symmetric diffusion processes [ MR 1137979 ]
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