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Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations

Feng-yu Wang Orcid Logo, Jie Xiong, Lihu Xu

Journal of Statistical Physics, Volume: 163, Issue: 5, Pages: 1211 - 1234

Swansea University Author: Feng-yu Wang Orcid Logo

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Abstract

Using the dimension-free Harnack inequality and the integration by parts formulafor the associated diffusion semigroup, we prove the central limit theorem, the moderatedeviation principle, and the logarithmic iteration law for the sample entropy production rateof a family of stochastic differential...

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Published in: Journal of Statistical Physics
ISSN: 0022-4715 1572-9613
Published: 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28389
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Abstract: Using the dimension-free Harnack inequality and the integration by parts formulafor the associated diffusion semigroup, we prove the central limit theorem, the moderatedeviation principle, and the logarithmic iteration law for the sample entropy production rateof a family of stochastic differential equations.
College: Faculty of Science and Engineering
Issue: 5
Start Page: 1211
End Page: 1234