Titlebook: Scaling Limits of Interacting Particle Systems; Claude Kipnis,Claudio Landim Book 1999 Springer-Verlag Berlin Heidelberg 1999 Dirichlet fo

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Hydrodynamic Limit of Reversible Nongradient Systems,a lattice with an exclusion rule that allows at most . particles per site. Here K is a fixed positive integer greater or equal than 2. The generator of this Markov process acts on cylinder functions as . where .(.) = .{a > 0, .} and .. is the configuration obtained from . moving a particle from . to ..

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https://doi.org/10.1007/978-3-662-03752-2Dirichlet form; Feynman-Kac formula; Hydrodynamic Limits; Interacting Particle Systems; Markov chain; Mar

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Some Interacting Particle Systems,We introduce in this chapter the interacting particle systems we consider throughout the book and present their main features. We shall refer constantly to Liggett (1985) for some proofs and some extensions of the results presented here.

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Large Deviations from the Hydrodynamic Limit,In Chapters 4 and 5 we proved a law of large numbers for the empirical density of reversible interacting particle systems. A natural development of the theory is to investigate the large deviations from the hydrodynamic limit.