A Course in Interacting Particle Systems

Reviews / Votes

'This handsome volume provides an accessible introduction to one of the gems of modern probability theory. It will be valuable to those seeking a rigorous and well-illustrated account of the foundations and basic properties of Interacting Particle Systems.' Geoffrey Grimmett, University of Cambridge 'This book on interacting particle systems is unique, developed as a textbook for a one-semester graduate course. Technicalities are kept to a minimum, making the treatment more accessible. The reader will receive a thorough and enjoyable education about the most important models, techniques, and results.' Rick Durrett, Duke University 'Generative AI now shapes science and industry, but its conceptual underpinnings are often opaque even to those who use it daily. This text develops an elegant unifying perspective grounded in the physics of stochastic thermodynamics - an angle no other book has explored at this depth. An inspiring resource for researchers in both fields.' Miranda Cheng, Academia Sinica 'This book serves as an important introduction to interacting particle systems, covering key foundational topics such as phase transitions, duality, and mean-field limits. The exposition is clear and well-written, with numerous examples that make the material engaging and accessible. It is particularly well-suited for Master's and PhD students, and I will certainly recommend it to my future students and research fellows.' Patricia Goncalves, Instituto Superior Tecnico 'A Course in Interacting Particle Systems covers the construction, behaviour and modern tools of the most important particle systems: spin models; voter, contact and exclusion processes. It displays great intuition combined with rigorous treatment and offers an outlook to current research. Numerous exercises help the journey in a novel way - a must-have read from a top expert in the field.' Marton Balazs, University of Bristol 'A much-needed introduction to the field, at once accessible to beginners and informative for experienced researchers. Intuitive and inviting, it focuses on Poisson graphical constructions and features richly illustrated descriptions of model behaviour, while maintaining mathematical rigour with original formalism and clear proofs.' Daniel Valesin, University of Warwick