Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

Author:   Thomas M. Liggett
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of hardcover 1st ed. 1999
Volume:   324
ISBN:  

9783642085291


Pages:   335
Publication Date:   15 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Stochastic Interacting Systems: Contact, Voter and Exclusion Processes


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Overview

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.

Full Product Details

Author:   Thomas M. Liggett
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 1999
Volume:   324
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.534kg
ISBN:  

9783642085291


ISBN 10:   3642085296
Pages:   335
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Background and Tools.- Contact Processes: Preliminaries; The Process on the Integer Lattice Zd; The Process on (1,...,N)d; The Process on the Homogeneous Tree Td; Notes and References.- Voter Models: Preliminaries; Models with General Threshold and Range; Models with Threshold = 1; Notes and References.- Exclusion Processes: Preliminaries; Asymmetric Processes on the Integers; Invariant Measures for Processes on (1,..,N); The Tagged Particle Process.- Notes and References Bibliography.- Index.

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