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arXiv:math/0404460 [math.PR]AbstractReferencesReviewsResources

Logarithmic Sobolev Inequality for Zero-Range Dynamics: independence of the number of particles

Paolo Dai Pra, Gustavo Posta

Published 2004-04-26, updated 2005-03-16Version 2

We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter L may depend on L but not on the number of particles. This is a first, but relevant and quite technical step, in the proof that this logarithmic-Sobolev constant grows as L^2, that will be presented in a forthcoming paper.

Journal: Electron. J. Probab. 10 (2005), no. 15, 525-576
Categories: math.PR, math-ph, math.MP
Subjects: 60K35, 82C22
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