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Interacting Particle Systems (Classics in Mathematics)

✍ Scribed by Thomas M. Liggett


Year
2004
Tongue
English
Leaves
513
Category
Library

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✦ Synopsis


From the reviews "This book presents a complete treatment of a new class of random processes, which have been studied intensively during the last fifteen years. None of this material has ever appeared in book form before. The high quality of this work [...] makes a fascinating subject and its open problem as accessible as possible." Mathematical Reviews


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Introduction.- The Construction, and Other General Results.- Some Basic Tools.- Spin System.- Stochastic Ising Models.- The Voter Model.- The Contract Process.- Neareast-Particle Systems.- The Exclusion Process.- Linear Systems with Values in [0, infinity)s.- Bibliography.- Index

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<p><span>Many materials or media in nature and technology possess a microstructure which determines their macroscopic behaviour. The knowledge of the relevant mechanisms is often more comprehensive on the micro than on the macro scale. On the other hand, not all information on the micro level is rel