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Titlebook: Random Walks, Brownian Motion, and Interacting Particle Systems; A Festschrift in Hon Rick Durrett,Harry Kesten Book 1991 Springer Science+

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書目名稱Random Walks, Brownian Motion, and Interacting Particle Systems
副標(biāo)題A Festschrift in Hon
編輯Rick Durrett,Harry Kesten
視頻videohttp://file.papertrans.cn/822/821105/821105.mp4
叢書名稱Progress in Probability
圖書封面Titlebook: Random Walks, Brownian Motion, and Interacting Particle Systems; A Festschrift in Hon Rick Durrett,Harry Kesten Book 1991 Springer Science+
描述This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank‘s seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank‘s deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.
出版日期Book 1991
關(guān)鍵詞Brownian motion; Gibbs state; Markov process; Probability theory; Random variable; contact process; diffus
版次1
doihttps://doi.org/10.1007/978-1-4612-0459-6
isbn_softcover978-1-4612-6770-6
isbn_ebook978-1-4612-0459-6Series ISSN 1050-6977 Series E-ISSN 2297-0428
issn_series 1050-6977
copyrightSpringer Science+Business Media New York 1991
The information of publication is updating

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Nonlinear Voter ModelsWe investigate generalizations of the voter model in which the flip rates are a nonlinear function of the number of neighbors with a different opinion. These new models exhibit a wide variety of limiting behavior from clustering to ergodicity.
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Interacting Systems, Stirrings, and FlowsStirring processes are related both to certain interacting particle systems and to continuous stochastic flows. Examples are given including a flow generated by Moebius automorphisms of the unit disk.
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