In the last decades the problem of metastability has been attacked on rigorous grounds via many different approaches and techniques which are briefly reviewed in this paper. It is then useful to understand connections between different point of views. In view of this we consider irreducible, aperiodic and reversible Markov chains with exponentially small transition probabilities in the framework of Metropolis dynamics. We compare two different cycle decompositions and prove their equivalence.

A Comparison Between Different Cycle Decompositions for Metropolis Dynamics / Cirillo, Emilio Nicola Maria; Nardi, Fr; Sohier, J.. - In: MARKOV PROCESSES AND RELATED FIELDS. - ISSN 1024-2953. - STAMPA. - 22:(2016), pp. 443-466.

A Comparison Between Different Cycle Decompositions for Metropolis Dynamics

CIRILLO, Emilio Nicola Maria;
2016

Abstract

In the last decades the problem of metastability has been attacked on rigorous grounds via many different approaches and techniques which are briefly reviewed in this paper. It is then useful to understand connections between different point of views. In view of this we consider irreducible, aperiodic and reversible Markov chains with exponentially small transition probabilities in the framework of Metropolis dynamics. We compare two different cycle decompositions and prove their equivalence.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/924297
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