Coalescence of skew brownian motions
Martin T. Barlow, Krzysztof Burdzy, Haya Kaspi, Avi Mandelbaum (2001)
Séminaire de probabilités de Strasbourg
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Martin T. Barlow, Krzysztof Burdzy, Haya Kaspi, Avi Mandelbaum (2001)
Séminaire de probabilités de Strasbourg
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Lawler, Gregory F. (1998)
Mathematical Physics Electronic Journal [electronic only]
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Soucaliuc, Florin, Werner, Wendelin (2002)
Electronic Communications in Probability [electronic only]
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Cristian Coletti, Glauco Valle (2014)
Annales de l'I.H.P. Probabilités et statistiques
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We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.
Xia Chen, Alexey M. Kulik (2012)
Annales de l'I.H.P. Probabilités et statistiques
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A method known as renormalization is proposed for constructing some more physically realistic random potentials in a Poisson cloud. The Brownian motion in the renormalized random potential and related parabolic Anderson models are modeled. With the renormalization, for example, the models consistent to Newton’s law of universal attraction can be rigorously constructed.
Jonathan Warren (1999)
Séminaire de probabilités de Strasbourg
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Warren, Jon (2002)
Electronic Journal of Probability [electronic only]
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Clément Sire, Pierre-Henri Chavanis (2004)
Banach Center Publications
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We investigate a model describing the dynamics of a gas of self-gravitating Brownian particles. This model can also have applications for the chemotaxis of bacterial populations. We focus here on the collapse phase obtained at sufficiently low temperature/energy and on the post-collapse regime following the singular time where the central density diverges. Several analytical results are illustrated by numerical simulations.
Buffet, Emannuel (2003)
Journal of Applied Mathematics and Stochastic Analysis
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Sznitman, Alain-Sol (1998)
Documenta Mathematica
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Abraham, Romain, Werner, Wendelin (1997)
Electronic Journal of Probability [electronic only]
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Dirnböck, Hans, Stachel, Hellmuth (1997)
Journal for Geometry and Graphics
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Nizar Demni, Dominique Lépingle (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Jacek Cygan (1978)
Colloquium Mathematicae
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Jansons, Kalvis M. (1997)
Electronic Communications in Probability [electronic only]
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Hara, Takashi, Slade, Gordon (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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