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2005 Logarithmic Sobolev Inequality for Zero--Range Dynamics: Independence of the Number of Particles
Paolo Dai Pra, Gustavo Posta
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Electron. J. Probab. 10: 525-576 (2005). DOI: 10.1214/EJP.v10-259

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.

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Paolo Dai Pra. Gustavo Posta. "Logarithmic Sobolev Inequality for Zero--Range Dynamics: Independence of the Number of Particles." Electron. J. Probab. 10 525 - 576, 2005. https://doi.org/10.1214/EJP.v10-259

Information

Accepted: 13 June 2005; Published: 2005
First available in Project Euclid: 1 June 2016

zbMATH: 1109.60080
MathSciNet: MR2147317
Digital Object Identifier: 10.1214/EJP.v10-259

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