Jan M. Swart: A Course in Interacting Particle Systems, Gebunden
A Course in Interacting Particle Systems
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- Verlag:
- Cambridge University Press, 08/2026
- Einband:
- Gebunden
- Sprache:
- Englisch
- ISBN-13:
- 9781009843478
- Artikelnummer:
- 12694585
- Umfang:
- 182 Seiten
- Erscheinungstermin:
- 31.8.2026
- Serie:
- Cambridge Series in Statistical and Probabilistic Mathematics
- Hinweis
-
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
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.