Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
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DOI：
10.1007/978-3-662-03990-8
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发表时间：
1999-10
期刊：
影响因子：
--
通讯作者：
Thomas M. Liggett
中科院分区：
文献类型：
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作者：
Thomas M. Liggett
交互式粒子系统是概率论的一个分支，与数学物理学和数学生物学有着密切的联系。1985年，作者写了一本书（T。Liggett，Interacting Particle System，ISBN 3-540-96069），其按照当时的情况处理受试者。本书选取了该领域最重要的三个模型，并追溯了自1985年以来我们对它们的理解的进展。在这样做的过程中，解释和开发了该领域中许多最有用的技术，以便它们可以应用于其他模型和其他环境。广泛的注释和参考文献部分讨论了这些模型和相关模型的其他工作。读者应该熟悉研究生水平的分析和概率，但并不认为他们已经掌握了1985年书中的材料。这本书是为研究生和研究人员在概率论，并在数学，生物学和物理学的相关领域。
Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.