Displaying similar documents to “Superdiffusive bounds on self-repellent precesses in d = 2 — extended abstract”

Abstracts

(2010)

Actes des rencontres du CIRM

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An asymptotic result for brownian polymers

Thomas Mountford, Pierre Tarrès (2008)

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

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We consider a model of the shape of a growing polymer introduced by Durrett and Rogers ( (1992) 337–349). We prove their conjecture about the asymptotic behavior of the underlying continuous process (corresponding to the location of the end of the polymer at time ) for a particular type of repelling interaction function without compact support.

Superdiffusivity for directed polymer in corelated random environment

Hubert Lacoin (2010)

Actes des rencontres du CIRM

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The directed polymer in random environment models the behavior of a polymer chain in a solution with impurities. It is a particular case of random walk in random environment. In 1 + 1 dimensional environment is has been shown by Petermann that this random walk is superdiffusive. We show superdiffusivity properties are reinforced were there are long ranged correlation in the environment and that super diffusivity also occurs in higher dimensions.