A new model for evolution in a spatial continuum.
Barton, Nick H., Etheridge, Alison M., Véber, Amandine (2010)
Electronic Journal of Probability [electronic only]
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Barton, Nick H., Etheridge, Alison M., Véber, Amandine (2010)
Electronic Journal of Probability [electronic only]
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Limic, Vlada (2010)
Electronic Journal of Probability [electronic only]
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de La Fortelle, Arnaud (2006)
Electronic Communications in Probability [electronic only]
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Bahram, A. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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David M. Hull (2003)
Extracta Mathematicae
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Chazottes, Jean-René, Giardina, Cristian, Redig, Frank (2006)
Electronic Journal of Probability [electronic only]
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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...
Kesten, Harry, Sidoravicius, Vladas (2003)
Electronic Journal of Probability [electronic only]
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Miguel González, Manuel Molina (1998)
Extracta Mathematicae
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Bousseboua, Moussedek, Lazhar Rahmani, Fouad (2001)
Serdica Mathematical Journal
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We study a class of models used with success in the modelling of climatological sequences. These models are based on the notion of renewal. At first, we examine the probabilistic aspects of these models to afterwards study the estimation of their parameters and their asymptotical properties, in particular the consistence and the normality. We will discuss for applications, two particular classes of alternating renewal processes at discrete time. The first class is defined by laws of...
Alvarez-Andrade, Sergio (2003)
Revista Colombiana de Matemáticas
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