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Entropy dissipation estimates in a Zero-Range dynamics

Pietro Caputo·Gustavo Posta
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Abstract

We study the exponential decay of relative entropy functionals for zero-range processes on the complete graph. For the standard model with rates increasing at infinity we prove entropy dissipation estimates, uniformly over the number of particles and the number of vertices.

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Pietro Caputo, Gustavo Posta. 2006-09-26. Entropy dissipation estimates in a Zero-Range dynamics. https://arxiv.org/abs/math/0405455

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