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November 2018 Entropy production in nonlinear recombination models
Pietro Caputo, Alistair Sinclair
Bernoulli 24(4B): 3246-3282 (November 2018). DOI: 10.3150/17-BEJ959

Abstract

We study the convergence to equilibrium of a class of nonlinear recombination models. In analogy with Boltzmann’s H-theorem from kinetic theory, and in contrast with previous analysis of these models, convergence is measured in terms of relative entropy. The problem is formulated within a general framework that we refer to as Reversible Quadratic Systems. Our main result is a tight quantitative estimate for the entropy production functional. Along the way, we establish some new entropy inequalities generalizing Shearer’s and related inequalities.

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Pietro Caputo. Alistair Sinclair. "Entropy production in nonlinear recombination models." Bernoulli 24 (4B) 3246 - 3282, November 2018. https://doi.org/10.3150/17-BEJ959

Information

Received: 1 October 2016; Revised: 1 May 2017; Published: November 2018
First available in Project Euclid: 18 April 2018

zbMATH: 06869876
MathSciNet: MR3788173
Digital Object Identifier: 10.3150/17-BEJ959

Rights: Copyright © 2018 Bernoulli Society for Mathematical Statistics and Probability

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Vol.24 • No. 4B • November 2018
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