Pointwise estimates and exponential laws in metastable systems via coupling methods

• Autores: Alessandra Bianchi, Anton Bovier, Dmitry Ioffe
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 40, Nº. 1, 2012, págs. 339-371
• Idioma: inglés
• DOI: 10.1214/10-AOP622
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• Resumen

  • 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.