Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 140, Issue 6, Pages 1065-1114Publisher
SPRINGER
DOI: 10.1007/s10955-010-0030-9
Keywords
Metastability; Tunneling; Markov processes
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We propose a definition of tunneling and of metastability for a continuous time Markov process on countable state spaces. We obtain sufficient conditions for a irreducible positive recurrent Markov process to exhibit a tunneling behaviour. In the reversible case these conditions can be expressed in terms of the capacities and of the stationary measure of the Markov process.
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