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Entropy dissipation estimates in a zero-range dynamics |
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| Authors: | Pietro Caputo Gustavo Posta |
| Institution: | (1) Dip. Matematica, Universita’ di Roma Tre, L.go S. Murialdo 1, 00146 Rome, Italy;(2) Dip. Matematica, Politecnico di Milano, P.za Leonardo da Vinci 32, 20133 Milan, Italy |
| 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. |
| Keywords: | Zero-range dynamics Entropy dissipation Modified logarithmic Sobolev inequalities |
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