Estimate of spectral gap for continuous gas
Liming Wu (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Liming Wu (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Morris, Ben (2008)
Electronic Communications in Probability [electronic only]
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Thomas Mountford, Li Wu (2008)
Open Mathematics
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We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments of order strictly greater than and obeys some natural regularity conditions.
Daley, D.J., Rolski, T., Vesilo, R. (2007)
Journal of Applied Mathematics and Decision Sciences
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Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Penrose, Mathew D. (2008)
Probability Surveys [electronic only]
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Fernández, Roberto, Ferrari, Pablo A., Guerberoff, Gustavo R. (2005)
Mathematical Physics Electronic Journal [electronic only]
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Peter Imkeller, Ilya Pavlyukevich (2008)
ESAIM: Probability and Statistics
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We consider a dynamical system in driven by a vector field -, where is a multi-well potential satisfying some regularity conditions. We perturb this dynamical system by a Lévy noise of small intensity and such that the heaviest tail of its Lévy measure is regularly varying. We show that the perturbed dynamical system exhibits metastable behaviour on a proper time scale it reminds of a Markov jump process taking values in the local minima of the potential . Due to the heavy-tail nature...