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A model of continuous time polymer on the lattice

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In this article, we try to give a rather complete picture of the behavior of the free energy for a model of directed polymer in a random environment, in which the polymer is a simple symmetric random walk on the lattice Z d, and the environment is a collection {W(t, x);t ≥ 0, x ∈ Z d} of i.i.d. Brownian motions.

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Communications on Stochastic Analysis, 2011, vol. 5, num. 1, p. 103-120

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Articles publicats en revistes (Matemàtiques i Informàtica)

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A model of continuous time polymer on the lattice