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Two mathematical tools to analyze metastable stochastic processes

Abstract : We present how entropy estimates and logarithmic Sobolev inequalities on the one hand, and the notion of quasi-stationary distribution on the other hand, are useful tools to analyze metastable overdamped Langevin dynamics, in particular to quantify the degree of metastability. We discuss the interest of these approaches to estimate the efficiency of some classical algorithms used to speed up the sampling, and to evaluate the error introduced by some coarse-graining procedures. This paper is a summary of a plenary talk given by the author at the ENUMATH 2011 conference.
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https://hal.inria.fr/hal-00661385
Contributor : Tony Lelièvre <>
Submitted on : Thursday, January 19, 2012 - 1:53:25 PM
Last modification on : Friday, November 29, 2019 - 12:42:01 PM

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  • HAL Id : hal-00661385, version 1
  • ARXIV : 1201.3775

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Tony Lelièvre. Two mathematical tools to analyze metastable stochastic processes. 2012. ⟨hal-00661385⟩

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