| 书目名称 | Scaling Limits of Interacting Particle Systems | | 编辑 | Claude Kipnis,Claudio Landim | | 视频video | | | 概述 | This book is long-awaited in the "interacting particle systems" community..Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collabor | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | The idea of writing up a book on the hydrodynamic behavior of interacting particle systems was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the spring of 1988. At this time Claude wrote some notes in French that covered Chapters 1 and 4, parts of Chapters 2, 5 and Appendix 1 of this book. His intention was to prepare a text that was as self-contained as possible. lt would include, for instance, all tools from Markov process theory ( cf. Appendix 1, Chaps. 2 and 4) necessary to enable mathematicians and mathematical physicists with some knowledge of probability, at the Ievel of Chung (1974), to understand the techniques of the theory of hydrodynamic Iimits of interacting particle systems. In the fall of 1991 Claude invited me to complete his notes with him and transform them into a book that would present to a large audience the latest developments of the theory in a simple and accessible form. To concentrate on the main ideas and to avoid unnecessary technical difficulties, we decided to consider systems evolving in finite lattice spaces and for which the equilibrium states are product measures. To illustrate the techniques we chose two well-kn | | 出版日期 | Book 1999 | | 关键词 | Dirichlet form; Feynman-Kac formula; Hydrodynamic Limits; Interacting Particle Systems; Markov chain; Mar | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-03752-2 | | isbn_softcover | 978-3-642-08444-7 | | isbn_ebook | 978-3-662-03752-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag Berlin Heidelberg 1999 |
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发表于 2025-3-21 17:15:52
