| 书目名称 | Probability on Discrete Structures |
| 编辑 | Harry Kesten |
| 视频video | |
| 概述 | 1st volume of a new probability subseries of EMS under the editorship of A.-S. Sznitman (ETH Zurich) and S.R.S. Varadhan (NYU).Written by outstanding probabilists who are professors at well-known univ |
| 丛书名称 | Encyclopaedia of Mathematical Sciences |
| 图书封面 |  |
| 描述 | .Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. .The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. .The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.. |
| 出版日期 | Book 2004 |
| 关键词 | Markov chain; Random variable; first-passage percolation; objective method in weak convergence theory; r |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-09444-0 |
| isbn_softcover | 978-3-642-05647-5 |
| isbn_ebook | 978-3-662-09444-0Series ISSN 0938-0396 |
| issn_series | 0938-0396 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
发表于 2025-3-21 19:47:37
