Dynamical phase transitions in disordered systems : the study of a random walk model
Marzio Cassandro, Antonio Galves, Pierre Picco (1991)
Annales de l'I.H.P. Physique théorique
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Marzio Cassandro, Antonio Galves, Pierre Picco (1991)
Annales de l'I.H.P. Physique théorique
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Randal Douc, Arnaud Guillin, Eric Moulines (2008)
Annales de l'I.H.P. Probabilités et statistiques
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This paper studies limit theorems for Markov chains with general state space under conditions which imply subgeometric ergodicity. We obtain a central limit theorem and moderate deviation principles for additive not necessarily bounded functional of the Markov chains under drift and minorization conditions which are weaker than the Foster–Lyapunov conditions. The regeneration-split chain method and a precise control of the modulated moment of the hitting time to small sets are employed...
Eddy Mayer-Wolf, Alexander Roitershtein, Ofer Zeitouni (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Jérôme Dedecker, Emmanuel Rio (2000)
Annales de l'I.H.P. Probabilités et statistiques
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Peter J. Bickel, Ya'acov Ritov, Tobias Rydén (2002)
Annales de l'I.H.P. Probabilités et statistiques
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