output
20172022
researchers with a paper here
collaborating institutions

3 papers

math-ph2022

A probabilistic representation of the solution to a 1D evolution equation in a medium with negative index

Éric Bonnetier, Pierre Etoré, Miguel Martinez

In this work we investigate a 1D evolution equation involving a divergence form operator where the diffusion coefficient inside the divergence is changing sign, as in models for me…

math.AP2021

A probabilistic point of view for the Kolmogorov hypoelliptic equations

Pierre Etoré, Jose R León, Clémentine Prieur

In this work, we propose a method for solving Kolmogorov hypoelliptic equations based on Fourier transform and Feynman-Kac formula. We first explain how the Feynman-Kac formula can…

math.PR2017

Multiplicative ergodicity of laplace transforms for additive functional of markov chains with application to age-dependent branching process

Loïc Hervé, Sana Louhichi, Françoise Pène

We study the exponential growth of bifurcating processes with ancestral dependence. We suppose here that the lifetimes of the cells are dependent random variables, that the numbers…