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January 2012 Pointwise estimates and exponential laws in metastable systems via coupling methods
Alessandra Bianchi, Anton Bovier, Dmitry Ioffe
Ann. Probab. 40(1): 339-371 (January 2012). DOI: 10.1214/10-AOP622

Abstract

We show how coupling techniques can be used in some metastable systems to prove that mean metastable exit times are almost constant as functions of the starting microscopic configuration within a “meta-stable set.” In the example of the Random Field Curie Weiss model, we show that these ideas can also be used to prove asymptotic exponentiallity of normalized metastable escape times.

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Alessandra Bianchi. Anton Bovier. Dmitry Ioffe. "Pointwise estimates and exponential laws in metastable systems via coupling methods." Ann. Probab. 40 (1) 339 - 371, January 2012. https://doi.org/10.1214/10-AOP622

Information

Published: January 2012
First available in Project Euclid: 3 January 2012

zbMATH: 1237.82039
MathSciNet: MR2917775
Digital Object Identifier: 10.1214/10-AOP622

Subjects:
Primary: 60K35 , 82C44
Secondary: 60G70

Keywords: coupling , Disordered system , exponential law , Glauber dynamics , metastability , potential theory , random field Curie–Weiss model

Rights: Copyright © 2012 Institute of Mathematical Statistics

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Vol.40 • No. 1 • January 2012
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