Subexponential tail asymptotics for a random walk with randomly placed one-way nodes
Nina Gantert (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Nina Gantert (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Olivier Mejane (2004)
Annales de l'I.H.P. Probabilités et statistiques
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José Trashorras (2002)
Annales de l'I.H.P. Probabilités et statistiques
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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...
Nina Gantert, Wolfgang König, Zhan Shi (2007)
Annales de l'I.H.P. Probabilités et statistiques
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