Metastability of reversible finite state Markov processes

J. Beltrán; C. Landim

Metastability of reversible finite state Markov processes

J. Beltrán
, C. Landim

Sección de Matemáticas

Instituto Nacional de Matematica Pura E Aplicada, Rio de Janeiro
Université de Rouen Normandie

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We prove the metastable behavior of reversible Markov processes on finite state spaces under minimal conditions on the jump rates. To illustrate the result we deduce the metastable behavior of the Ising model with a small magnetic field at very low temperature. © 2011 Elsevier B.V. All rights reserved.

Original language	Spanish
Pages (from-to)	1633-1677
Number of pages	45
Journal	Stochastic Processes and their Applications
Volume	121
State	Published - 1 Aug 2011

Cite this

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abstract = "We prove the metastable behavior of reversible Markov processes on finite state spaces under minimal conditions on the jump rates. To illustrate the result we deduce the metastable behavior of the Ising model with a small magnetic field at very low temperature. {\textcopyright} 2011 Elsevier B.V. All rights reserved.",

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