The first goal of this paper is to prove multiple asymptotic results for a time‐discrete and
space‐continuous polymer model of a random walk in a random potential. These results …

Directed polymers in random environment have usually been constructed with a simple
random walk on the integer lattice. It has been observed before that several standard results …

We study the free energy and its relevant quantity for the directed polymer in random
environment. The polymer is allowed to make unbounded jumps and the environment is …

We study a continuum model of directed polymer in random environment. The law of the
polymer is defined as the Brownian motion conditioned to survive among space-time …

We prove that the free energy of directed polymer in Bernoulli environment converges to the
growth rate for the number of open paths in super-critical oriented percolation as the …

We study the number N_n of open paths of length n in supercritical oriented percolation on
Z^d*N, with d\ge1, and we prove the existence of the connective constant for the …

Abstract Let Z^ 1 Z 1 and Z^ 2 Z 2 be partition functions in the random polymer model in the
same environment but driven by different underlying random walks. We give a comparison …

This thesis investigates two polymer models that undergo an adsorption (or pinning) phase
transition. The first model is a polymer interacting repulsively with its solvent and attractively …

Modèles de polymères pertinence du désordre localisation transition de phase phéno-
mènes critiques modèle de copolymère modèle d'accrochage modèle de Poland-Scheraga …

We study a random walk on Z^ d in a random environment of space-time disasters and
consider the decay rate of its quenched survival probability. We then study the associated …