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A course in interacting particle systems / Jan M. Swart
- Format:
- Book
- Author/Creator:
- Swart, Jan M., 1970- author.
- Series:
- Cambridge series on statistical and probabilistic mathematics
- Cambridge series in statistical and probabilistic mathematics
- Language:
- English
- Subjects (All):
- Biomathematics.
- Mathematical physics.
- Stochastic processes.
- Stochastic Processes.
- Medical Subjects:
- Stochastic Processes.
- Physical Description:
- 1 online resource
- Place of Publication:
- Cambridge : Cambridge University Press, 2026
- Summary:
- "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"-- Cambridge Core
- Contents:
- Continuous-time Markov chains
- The mean-field limit
- Construction and ergodicity
- Monotonicity
- Duality
- Oriented percolation
- Notes:
- Includes bibliographical references and index
- Online resource; title from PDF title page (Cambridge Core, viewed July 22, 2026)
- Other Format:
- Print version: Swart, Jan M., 1970- Course in interacting particle systems
- ISBN:
- 9781009843454
- 1009843451
- 9781009843485
- 1009843486
- OCLC:
- 1570732911
- Publisher Number:
- CIPO000397860
- Access Restriction:
- Restricted for use by site license
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