Tunneling and Metastability of Continuous Time Markov Chains

J. Beltrán; C. Landim

Tunneling and Metastability of Continuous Time Markov Chains

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

103 Scopus citations

Abstract

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. © 2010 Springer Science+Business Media, LLC.

Original language	Spanish
Pages (from-to)	1065-1114
Number of pages	50
Journal	Journal of Statistical Physics
Volume	140
State	Published - 11 Aug 2010

Metastabilidad para procesos de Markov. Límite de escala para grafos aleatorios sobre la esfera.
Beltran Ramirez, J. V. (PI)
1/01/12 → 1/11/12
Project: Research

Cite this

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title = "Tunneling and Metastability of Continuous Time Markov Chains",

abstract = "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. {\textcopyright} 2010 Springer Science+Business Media, LLC.",

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N2 - 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. © 2010 Springer Science+Business Media, LLC.

AB - 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. © 2010 Springer Science+Business Media, LLC.

M3 - Artículo

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

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Tunneling and Metastability of Continuous Time Markov Chains

Abstract

Projects

Metastabilidad para procesos de Markov. Límite de escala para grafos aleatorios sobre la esfera.

Cite this