7 citations · 7 across the 3 of their papers we have counts for
5 papers · 1 filter
Self-Intersection Times for Random Walk, and Random Walk in Random Scenery in dimensions d>4
Amine Asselah, Fabienne Castell
We consider Random Walk in Random Scenery, denoted , where the random walk is symmetric on , with , and the random field is made up of i.i.d random variables with a…
A note on random walk in random scenery
Amine Asselah, Fabienne Castell
We consider a d-dimensional random walk in random scenery X(n), where the scenery consists of i.i.d. with exponential moments but a tail decay of the form exp(-c t^a) with a<d/2. W…
Large deviations for Brownian motion in a random scenery
A. Asselah, F. Castell
We prove large deviations principles in large time, for the Brownian occupation time in random scenery. The random scenery is constant on unit cubes, and consist of i.i.d. bounded…
Existence of quasi-stationary measures for asymmetric attractive particle systems on $\ZZ^d$
A. Asselah, F. Castell
We show the existence of non-trivial quasi-stationary measures for conservative attractive particle systems on $\ZZ^d$ conditioned on avoiding an increasing local set $\A$. Moreove…
Quenched large deviations for diffusions in a random Gaussian shear flow drift
A. Asselah, F. Castell
We prove a full large deviations principle in large time, for a diffusion process with random drift V, which is a centered Gaussian shear flow random field. The large deviations pr…