A model of continuous time polymer on the lattice

Mathematics – Probability

Scientific paper

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Scientific paper

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 $\{W(t,x);t\ge 0, x\in \Z^d\}$ of i.i.d.
Brownian motions.

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