Entropy dissipation estimates in a zero-range dynamics
نویسندگان
چکیده
منابع مشابه
Entropy Dissipation Estimates in a Zero – Range Dynamics
We prove new inequalities implying exponential decay of relative entropy functionals for a class of Zero–Range processes on the complete graph. We first consider the case of uniformly increasing rates, where we use a discrete version of the Bakry– Emery criterium to prove spectral gap and entropy dissipation estimates, uniformly over the number of particles and the number of vertices. We then s...
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We study the exponential decay of relative entropy functionals for zero– range processes on the complete graph. For the standard model with rates increasing at infinity we prove entropy dissipation estimates, uniformly over the number of particles and the number of vertices.
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2006
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-006-0039-9