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

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

2004-04-26

arxiv.org/abs/math/0404460v2

Electron. J. Probab. 10 (2005), no. 15, 525-576

Mathematics

Probability

Scientific paper

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.

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