18 citations · 28 across the 5 of their papers we have counts for
5 papers · 1 filter
Discrete approximation of stable white noise - Application to spatial linear filtering
Clément Dombry
Motivated by the simulation of stable random fields, we consider the issue of discrete approximations of independently scattered stable noise. Two approaches are proposed: grid app…
A functional approach for random walks in random sceneries
Clément Dombry, Nadine Guillotin-Plantard
A functional approach for the study of the random walks in random sceneries (RWRS) is proposed. Under fairly general assumptions on the random walk and on the random scenery, funct…
Rescaled weighted random balls models and stable self-similar random fields
Jean-Christophe Breton, Clément Dombry
We consider weighted random balls in distributed according to a random Poisson measure with heavy-tailed intensity and study the asymptotic behaviour of the total weight…
Convergence of dependent walks in a random scenery to fBm-local time fractional stable motions
Serge Cohen, Clément Dombry
It is classical to approximate the distribution of fractional Brownian motion by a renormalized sum of dependent Gaussian random variables. In this paper we consider such a…
The Curie-Weiss model with dynamical external field
Clement Dombry, Nadine Guillotin-Plantard
We study a Curie-Weiss model with a random external field generated by a dynamical system. Probabilistic limit theorems (weak law of large numbers, central limit theorems) are prov…