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From Markov Chains To Non-equilibrium Particle Systems (2nd Edition)
Mu-fa Chen
出版World Scientific, 2004-03-23
主題Science / Physics / Mathematical & ComputationalMathematics / Probability & Statistics / General
ISBN98144829009789814482905
URLhttp://books.google.com.hk/books?id=RwbJCgAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.