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From Markov Chains To Non-equilibrium Particle Systems

From Markov Chains To Non-equilibrium Particle Systems by Bernd A. Berg
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This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction–diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students.
World Scientific Publishing Company; March 2004
610 pages; ISBN 9789814482905
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Title: From Markov Chains To Non-equilibrium Particle Systems
Author: Bernd A. Berg