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math.PR2008★ 18 cited
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…
math.PR2008★ 7 cited
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…