DIFFUSIVITY BOUNDS FOR 1D BROWNIAN POLYMERS

We study the asymptotic behavior of a self-interacting one-dimensional Brownian polymer first introduced by Durrett and Rogers [Probab. Theory Related Fields 92 (1992) 337-349]. The polymer describes a stochastic process with a drift which is a certain average of its local time. We show that a smear...

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Bibliographic Details
Main Authors: Tarres, P, Toth, B, Valko, B
Format: Journal article
Language:English
Published: 2012