Equilibrium fluctuations for exclusion processes with conductances in random environments

Fix a function W : R d → R such that W ( x 1 , … , x d ) = ∑ k = 1 d W k ( x k ) , where d ≥ 1 , and each function W k : R → R is strictly increasing, right continuous with left limits. We prove the equilibrium fluctuations for exclusion processes with conductances, induced by W , in random environm...

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Bibliographic Details
Published in:Stochastic processes and their applications 2010-08, Vol.120 (8), p.1535-1562
Main Authors: Farfan, Jonathan, Simas, Alexandre B., Valentim, Fábio J.
Format: Article
Language:English
Subjects:
Distribution theory
Equilibrium fluctuations
Exact sciences and technology
Exclusion processes
Exclusion processes Homogenization Equilibrium fluctuations Nuclear spaces
Homogenization
Mathematics
Nuclear spaces
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)
Statistics
Stochastic analysis
Stochastic processes
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Summary:Fix a function W : R d → R such that W ( x 1 , … , x d ) = ∑ k = 1 d W k ( x k ) , where d ≥ 1 , and each function W k : R → R is strictly increasing, right continuous with left limits. We prove the equilibrium fluctuations for exclusion processes with conductances, induced by W , in random environments, when the system starts from an equilibrium measure. The asymptotic behavior of the empirical distribution is governed by the unique solution of a stochastic differential equation taking values in a certain nuclear Fréchet space.
ISSN:0304-4149
1879-209X
DOI:10.1016/j.spa.2010.03.018