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

By: Contributor(s): Material type: TextTextSeries: Classics in MathematicsPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005Edition: Reprint of the 1985 EditionDescription: XVI, 496 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540269625
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 519.2 23
LOC classification:
  • QA273.A1-274.9
  • QA274-274.9
Online resources:
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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
E-BOOKS ISI Library, Kolkata Not for loan EB1066
Total holds: 0

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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