A local limit theorem for directed polymers in random media : the continuous and the discrete case
Vincent Vargas (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “Random walk on a building of type Ãr and brownian motion of the Weyl chamber”
A local limit theorem for directed polymers in random media : the continuous and the discrete case
Cut points and diffusive random walks in random environment
Erwin Bolthausen, Alain-Sol Sznitman, Ofer Zeitouni (2003)
Annales de l'I.H.P. Probabilités et statistiques
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The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk
N. Enriquez, C. Lucas, F. Simenhaus (2010)
Annales de l'I.H.P. Probabilités et statistiques
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We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.
Two-dimensional Poisson trees converge to the brownian web
P. A. Ferrari, L. R. G. Fontes, Xian-Yuan Wu (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Homogenization of a singular random one-dimensional PDE
Bogdan Iftimie, Étienne Pardoux, Andrey Piatnitski (2008)
Annales de l'I.H.P. Probabilités et statistiques
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This paper deals with the homogenization problem for a one-dimensional parabolic PDE with random stationary mixing coefficients in the presence of a large zero order term. We show that under a proper choice of the scaling factor for the said zero order terms, the family of solutions of the studied problem converges in law, and describe the limit process. It should be noted that the limit dynamics remain random.