Displaying similar documents to “Upper bounds for minimal distances in the central limit theorem”

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.

Subgaussianity and exponential integrability of real random variables: comparison of the norms

Rita Giuliano Antonini (2000)

Bollettino dell'Unione Matematica Italiana

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Nello spazio delle variabili aleatorie subgaussiane definite su Ω , A , P si studia l'equivalenza tra la norma subgaussiana e la norma di Fernique, dando valutazioni numeriche delle costanti di equivalenza. A tale scopo si fa uso di una nuova caratterizzazione della norma subgaussiana delle variabili aleatorie simmetriche.

Annealed upper tails for the energy of a charged polymer

Amine Asselah (2011)

Annales de l'I.H.P. Probabilités et statistiques

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We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider estimates, that is when we average over both randomness, in dimension three or more. We obtain a large deviation principle, and an explicit rate function for a large class of charge distributions.