41 citations · 80 across the 7 of their papers we have counts for
5 papers · 1 filter
On the Laplace transform of perpetuities with thin tails
Jean-Baptiste Bardet, Hélène Guerin, Florent Malrieu
We consider the random variables which are solutions of the distributional equation $R\overset{\cL}{=}MR+Q$, where is independent of and $\ABS{M}\leq 1$. Goldie and…
Long time behavior of diffusions with Markov switching
Jean-Baptiste Bardet, Hélène Guerin, Florent Malrieu
Let be an Ornstein-Uhlenbeck diffusion governed by an ergodic finite state Markov process : , given. Under ergodicity condition, we get q…
Measurability of optimal transportation and strong coupling of martingale measures
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
We consider the optimal mass transportation problem in $\RR^d$ with measurably parameterized marginals, for general cost functions and under conditions ensuring the existence of a…
Well-posedness of the spatially homogeneous Landau equation for soft potentials
Hélène Guerin, Nicolas Fournier
We consider the spatially homogeneous Landau equation of kinetic theory, and provide a differential inequality for the Wasserstein distance with quadratic cost between two solution…
Measurability of optimal transportation and convergence rate for Landau type interacting particle systems
Joaquin Fontbona, Helene Guerin, Sylvie Meleard
In this paper, we consider nonlinear diffusion processes driven by space-time white noises, which have an interpretation in terms of partial differential equations. For a specific…