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Entropy dissipation estimates in a zero-range dynamics
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  • Published: 17 November 2006

Entropy dissipation estimates in a zero-range dynamics

  • Pietro Caputo1 &
  • Gustavo Posta2 

Probability Theory and Related Fields volume 139, pages 65–87 (2007)Cite this article

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  • 16 Citations

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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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Author information

Authors and Affiliations

  1. Dip. Matematica, Universita’ di Roma Tre, L.go S. Murialdo 1, 00146, Rome, Italy

    Pietro Caputo

  2. Dip. Matematica, Politecnico di Milano, P.za Leonardo da Vinci 32, 20133, Milan, Italy

    Gustavo Posta

Authors
  1. Pietro Caputo
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  2. Gustavo Posta
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Corresponding author

Correspondence to Pietro Caputo.

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Cite this article

Caputo, P., Posta, G. Entropy dissipation estimates in a zero-range dynamics. Probab. Theory Relat. Fields 139, 65–87 (2007). https://doi.org/10.1007/s00440-006-0039-9

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  • Received: 24 May 2004

  • Revised: 03 July 2006

  • Published: 17 November 2006

  • Issue Date: September 2007

  • DOI: https://doi.org/10.1007/s00440-006-0039-9

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Keywords

  • Zero-range dynamics
  • Entropy dissipation
  • Modified logarithmic Sobolev inequalities

Mathematics Subject Classification (2000)

  • 60K35
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