Titlebook: Interacting Particle Systems; Thomas M. Liggett Book 1985 Springer-Verlag New York Inc. 1985 Systems.correlation.development.paper

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The Construction, and Other General Results,les. These processes are normally specified by giving the infinitesimal rates at which transitions occur. In general there are infinitely many particles in the system, and infinitely many of them make transitions in any interval of time. The transition rates for individual particles can depend on th

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Some Basic Tools,rated here with applications to countable state Markov chains. The hope is that after seeing how they are applied in this familiar setting, the reader will be better prepared to appreciate their usefulness in the context of particle systems. The second objective of this chapter is to prove some nons

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The Contact Process,pread of an infection. An individual at . is infected if η(x) = 1 and healthy if η (x) = 0. Healthy individuals become infected at a rate which is proportional to the number of infected neighbors. Infected individuals recover at a constant rate, which is normalized to be 1.

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,Linear Systems with Values in [0, ∞),lues per site is allowed to be noncompact, new problems and different phenomena occur. The literature contains many types of models in which the set of possible values per site is either the nonnegative integers or the nonnegative real numbers. The oldest and simplest of these is a system of particl

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