A Course in Interacting Particle Systems

Language: English

Published by Cambridge University Press, GB, 2026

1009843478 / 9781009843478

Series: Book 63 of 64 - Cambridge Series in Statistical and Probabilistic Mathematics

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The culmination of years of teaching experience, this book provides a modern introduction to the mathematical theory of interacting particle systems. Assuming a background in probability and measure theory, it has been designed to support a one-semester course at a Master or Ph.D. level. It also provides a useful reference for researchers, containing several results that have not appeared in print in this form before. An emphasis is placed on graphical representations, which are used to give a construction that is intuitively easier to grasp than the traditional generator approach. Also included is an extensive look at duality theory, along with discussions of mean-field methods, phase transitions and critical behaviour. The text is illustrated with the results of numerical simulations and features exercises in every chapter. The theory is demonstrated on a range of models, reflecting the modern state of the subject and highlighting the scope of possible applications.

Title
A Course in Interacting Particle Systems
Author
Jan M. Swart
Publisher
Cambridge University Press, GB
Publication year
2026
Condition
New
Binding
Hardback
Language
English
ISBN 10
1009843478
ISBN 13
9781009843478
Item weight
532 grams
Series
Book 63 of 64: Cambridge Series in Statistical and Probabilistic Mathematics

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