Logarithmic Sobolev inequality for zero-range Dynamics

Mathematics – Probability

Scientific paper

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Published at http://dx.doi.org/10.1214/009117905000000332 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117905000000332

We prove that the logarithmic Sobolev constant for zero-range processes in a
box of diameter $L$ grows as $L^2$.

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