Density in small time for Levy processes
Jean Picard (1997)
ESAIM: Probability and Statistics
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Jean Picard (1997)
ESAIM: Probability and Statistics
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Basdevant, Anne-Laure, Goldschmidt, Christina (2008)
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Knessl, Charles, Szpankowski, Wojciech (2000)
The Electronic Journal of Combinatorics [electronic only]
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Kaj, I., Sagitov, S. (1997)
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Barlow, Martin T., Kumagai, Takashi (2001)
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Fleischmann, Klaus, Greven, Andreas (1996)
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The Electronic Journal of Combinatorics [electronic only]
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Tristan Rivière (1996)
ESAIM: Control, Optimisation and Calculus of Variations
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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...