Stochastic interacting systems : contact, voter and exclusion processes

By: Thomas M. LiggettMaterial type: TextTextSeries: Grundlehren der mathematischen Wissenschaften (A Series in Comprehensive Studies in Mathematics) ; Vol. 324Publication details: Heidelberg: Springer-Verlag, [c1999]Description: 332 pISBN: 9783540659952Subject(s): MathematicsLOC classification: QA274Online resources: Click here to access online
Contents:
Part I. Contact Processes Part II. Voter Models Part III. Exclusion Processes
Summary: 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. --- summary provided by publisher
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Part I. Contact Processes
Part II. Voter Models
Part III. Exclusion Processes

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. --- summary provided by publisher

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