Randomly interacting particle systems : the uniqueness regime
G. Gielis, C. Maes, K. Vande Velde (1999)
Annales de l'I.H.P. Physique théorique
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G. Gielis, C. Maes, K. Vande Velde (1999)
Annales de l'I.H.P. Physique théorique
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Claudio Landim (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Peter Mörters, Marcel Ortgiese, Nadia Sidorova (2011)
Annales de l'I.H.P. Probabilités et statistiques
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The parabolic Anderson model is the Cauchy problem for the heat equation with a random potential. We consider this model in a setting which is continuous in time and discrete in space, and focus on time-constant, independent and identically distributed potentials with polynomial tails at infinity. We are concerned with the long-term temporal dynamics of this system. Our main result is that the periods, in which the profile of the solutions remains nearly constant, are increasing linearly...
Quansheng Liu (2001)
Annales de l'I.H.P. Probabilités et statistiques
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Francis Comets (1987)
Annales de l'I.H.P. Probabilités et statistiques
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