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Continuous time Markov processes : an introduction
- 作者： Liggett, Thomas M. (Thomas Milton), 1944-
- 出版： Providence, R.I. : American Mathematical Society
- 叢書名： Graduate studies in mathematics ;v. 113
- 主題： Markov processes , Stochastic integrals
- ISBN： 9780821849491 (hbk.) 、 0821849492 (hbk.)
- 資料類型: 圖書
- 內容註: Includes bibliographical references and index. One-dimensional Brownian motion -- Continuous time Markov chains -- Feller processes -- Interacting particle systems -- Stochastic integration -- Multi-dimensional Brownian motion and the Dirichlet problem.
- 摘要註: "Markov processes are among the most important stochastic processes for both theory and applications. This book develops the general theory of these processes and applies this theory to various special examples. The initial chapter is devoted to the most important classical example--one-dimensional Brownian motion. This, together with a chapter on continuous time Markov chains, provides the motivation for the general setup based on semigroups and generators. Chapters on stochastic calculus and probabilistic potential theory give an introduction to some of the key areas of application of Brownian motion and its relatives. A chapter on interacting particle systems treats a more recently developed class of Markov processes that have as their origin problems in physics and biology."--Publisher's description.
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讀者標籤：
- 系統號： 005072228 | 機讀編目格式
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