226 citations · 612 across the 43 of their papers we have counts for
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Homogenization of a periodic semilinear elliptic degenerate PDE
Etienne Pardoux, Ahmadou Bamba Sow
In this paper a semilinear elliptic PDE with rapidly oscillating coefficients is homogenized. The novetly of our result lies in the fact that we allow the second order part of the…
Binary trees, exploration processes, and an extented Ray--Knight Theorem
Mamadou Ba, Etienne Pardoux, Ahmadou Bamba Sow
We study the bijection between binary Galton--Watson trees in continuous time and their exploration process, both in the sub- and in the supercritical cases. We then take the limit…
Trees under attack: a Ray-Knight representation of Feller's branching diffusion with logistic growth
Vi Le, Etienne Pardoux, Anton Wakolbinger
We obtain a representation of Feller's branching diffusion with logistic growth in terms of the local times of a reflected Brownian motion with a drift that is affine linear in…
Branching processes with competition and generalized Ray Knight Theorem
Mamadou Ba, Etienne Pardoux
We consider a discrete model of population with interaction where the birth and death rates are non linear functions of the population size. After proceeding to renormalization of…
Random homogenisation of a highly oscillatory singular potential
Martin Hairer, Etienne Pardoux, Andrey Piatnitski
In this article, we consider the problem of homogenising the linear heat equation perturbed by a rapidly oscillating random potential. We consider the situation where the space-tim…
Lambda-lookdown model with selection
Boubacar Bah, Etienne Pardoux
The goal of this paper is to study the lookdown model with selection in the case of a population containing two types of individuals, with a reproduction model which is dual to the…