7 citations · 10 across the 6 of their papers we have counts for
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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…
Hitting times for independent random walks on
Amine Asselah, Pablo A. Ferrari
We consider a system of asymmetric independent random walks on , denoted by , stationary under the product Poisson measure of marginal…
On the Dirichlet problem for asymmetric zero-range process on increasing domains
Amine Asselah
We characterize the principal eigenvalue of the generator of the asymmetric zero-range process in dimensions d>2, with Dirichlet boundary on special domains. We obtain a Donsker-Va…
Hitting times for special patterns in the symmetric exclusion process on Z^d
Amine Asselah, Paolo Dai Pra
We consider the symmetric exclusion process {η_t,t>0} on {0,1}^{Z^d}. We fix a pattern A:={η:\sum_Λη(i)\ge k}, where Λis a finite subset of Z^d and k is an integer, and we consider…
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…