Metastability of reversible finite state Markov processes

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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. © 2011 Elsevier B.V. All rights reserved.

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Beltrán, J., & Landim, C. (2011). Metastability of reversible finite state Markov processes. Stochastic Processes and Their Applications, 121(8), 1633–1677. https://doi.org/10.1016/j.spa.2011.03.008

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