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
大学図書館所蔵 全55件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
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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