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Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
Statistics turbulent coherent structures mechanical model the model of two-dimensional fluid motion
2014/12/29
We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves....
Large deviation principles for non gradient weakly asymmetric stochastic lattice gases
deviation principles gradient weakly lattice gases
2010/11/11
We consider a lattice gas on the discrete d-dimensional torus (Z/NZ)^d with a generic translation invariant, finite range interaction satisfying a uniform strong mixing condition. The lattice gas perf...
Large deviation principles for Markov processes via Phi-Sobolev inequalities
principle Markov process via Phi-Sobolev inequalities
2009/3/19
Via Phi-Sobolev inequalities, we give some sharp integrability conditions on $F$ for the large deviation principle of the empirical mean $frac{1}{T}{int_{0}^{T}{F(X_{s})}ds}$ for large time $T$, where...