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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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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DOI: https://doi.org/10.1007/s00440-006-0039-9
Keywords
- Zero-range dynamics
- Entropy dissipation
- Modified logarithmic Sobolev inequalities
Mathematics Subject Classification (2000)
- 60K35