Estimating observables from conditioned dynamics is typically computationally hard. While
obtaining independent samples efficiently from unconditioned dynamics is usually feasible …

We obtain sharp upper and lower bounds for the downward moderate deviations of the
volume of the range of a random walk in dimension five and larger. Our results encompass …

We study a self-attractive random walk such that each trajectory of length N is penalised by a
factor proportional to exp (-| RN|), where RN is the set of sites visited by the walk. We show …

Place an obstacle with probability 1-p 1-p independently at each vertex of Z^ d Z d, and run
a simple random walk before hitting one of the obstacles. For d ≥ 2 d≥ 2 and p strictly …

Place an obstacle with probability 1-p independently at each vertex of Z^d, and consider a
simple symmetric random walk that is killed upon hitting one of the obstacles. For d≧2 and p …

We consider a random walk among a Poisson cloud of moving traps on ${\mathbb Z}^ d $,
where the walk is killed at a rate proportional to the number of traps occupying the same …

In this article we study a one dimensional model for a polymer in a poor solvent: the random
walk on $\mathbb {Z} $ penalized by its range. More precisely, we consider a Gibbs …

In this article we study a non-directed polymer model on Z, that is a one-dimensional simple
random walk placed in a random environment. More precisely, the law of the random walk is …

We investigate a model of continuous-time simple random walk paths in $\mathbb {Z}^ d $
undergoing two competing interactions: an attractive one towards the large values of a …

In this article we study a non-directed polymer model in dimension d≥ 2: we consider a
simple symmetric random walk on Z d which interacts with a random environment …