398 citations
- Université de LorraineFR874 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Institut national de recherche en sciences et technologies du numériqueFR121 papers
- Université Henri PoincaréFR49 papers
- Institut Universitaire de FranceFR45 papers
- Centre Inria de l'Université de LorraineFR35 papers
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- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR19 papers
- Laboratoire de Mathématiques d'OrsayFR18 papers
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61 papers · 1 filter
On ill-posedness of nonlinear stochastic wave equations driven by rough noise
Aurélien Deya
We highlight a fundamental ill-posedness issue for nonlinear stochastic wave equations driven by a fractional noise. Namely, if the noise becomes too rough (i.e., the sum of its Hu…
Transcritical bifurcation for the conditional distribution of a diffusion process
Michel Benaïm, Nicolas Champagnat, William Oçafrain +1
In this article, we describe a simple class of models of absorbed diffusion processes with parameter, whose conditional law exhibits a transcritical bifurcation. Our proofs are bas…
Solving the hyperbolic Anderson model 1: Skorohod setting
Xia Chen, Aurélien Deya, Jian Song +1
This paper is concerned with a wave equation in dimension , with a multiplicative space-time Gaussian noise which is fractional in time and homogeneous in space. W…
On Poisson transforms of differential forms on real hyperbolic spaces
Salem Bensaïd, Abdelhamid Boussejra, Khalid Koufany
This paper is concerned with the Poisson transform of differential forms on the hyperbolic space . Consider an integer such that and l…
Stability regions of systems with compatibilities, and ubiquitous measures on graphs
Jocelyn Begeot, Irène Marcovici, Pascal Moyal
This paper addresses the ubiquity of remarkable measures on graphs, and their applications. In many queueing systems, it is necessary to take into account the compatibility constra…
On multi-solitons for coupled Lowest Landau Level equations
Laurent Thomann
We consider a coupled system of nonlinear Lowest Landau Level equations. We first show the existence of multi-solitons with an exponentially localised error term in space, and then…