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Interacting Particle Systems [electronic resource] / by Thomas M. Liggett.

By: Liggett, Thomas M [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextTextSeries: Classics in Mathematics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005Edition: Reprint of the 1985 Edition.Description: XVI, 496 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540269625.Subject(s): Distribution (Probability theory | Statistical physics | Probability Theory and Stochastic Processes | Complex Systems | Statistical Physics and Dynamical SystemsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 519.2 Online resources: Click here to access online
Contents:
The Construction, and Other General Results -- Some Basic Tools -- Spin Systems -- Stochastic Ising Models -- The Voter Model -- The Contact Process -- Nearest-Particle Systems -- The Exclusion Process -- Linear Systems with Values in [0, ?)s.
In: Springer eBooksSummary: From the reviews "[...] This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fifteen years. None of this material has ever appeared in book form before. …The high quality of this work, on a technically difficult subject, makes a fascinating subject and its open problem as accessible as possible. [...]F.L. Spitzer in Mathematical Reviews, 1986 " [...] This book, the first monographic presentation of this important and rapidly developing theory, will prove indispensable to every serious student of stochastics [...]" S. Gacsályi in Publicationes Mathematicae, 1986 "[...] However, it can be said that the author has succeeded in what even experts are seldom able to achieve: To write a clearcut and inspiring book on his favorite subject which meets most, if not all requirements which can be imposed on a comprehensive text on an important new field. The author can be congratulated on his excellent presentation of the theory of interacting particle systems. The book is highly recommended to everyone who works on or is interested in this subject: to probabilists, physicists and theoretical biologists. [...]" G. Rosenkranz in Methods of Information in Medicine, 1986.
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The Construction, and Other General Results -- Some Basic Tools -- Spin Systems -- Stochastic Ising Models -- The Voter Model -- The Contact Process -- Nearest-Particle Systems -- The Exclusion Process -- Linear Systems with Values in [0, ?)s.

From the reviews "[...] This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fifteen years. None of this material has ever appeared in book form before. …The high quality of this work, on a technically difficult subject, makes a fascinating subject and its open problem as accessible as possible. [...]F.L. Spitzer in Mathematical Reviews, 1986 " [...] This book, the first monographic presentation of this important and rapidly developing theory, will prove indispensable to every serious student of stochastics [...]" S. Gacsályi in Publicationes Mathematicae, 1986 "[...] However, it can be said that the author has succeeded in what even experts are seldom able to achieve: To write a clearcut and inspiring book on his favorite subject which meets most, if not all requirements which can be imposed on a comprehensive text on an important new field. The author can be congratulated on his excellent presentation of the theory of interacting particle systems. The book is highly recommended to everyone who works on or is interested in this subject: to probabilists, physicists and theoretical biologists. [...]" G. Rosenkranz in Methods of Information in Medicine, 1986.

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Interacting particle systems by Liggett Thomas M
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