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 the square of L, that is presented in a forthcoming paper.
Logarithmic Sobolev Inequality for Zero-Range Dynamics: Independence of the Number of Particles / P., Dai Pra; Posta, Gustavo. - In: ELECTRONIC JOURNAL OF PROBABILITY. - ISSN 1083-6489. - ELETTRONICO. - 10:(2005), pp. 525-576. [10.1214/EJP.v10-259]
Logarithmic Sobolev Inequality for Zero-Range Dynamics: Independence of the Number of Particles
POSTA, GUSTAVO
2005
Abstract
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 the square of L, that is presented in a forthcoming paper.File allegati a questo prodotto
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