Publications

Publications :

• Transcritical bifurcation for the conditional distribution of a diffusion process (with Michel Benaïm, Nicolas Champagnat and Denis Villemonais), Journal of Theoretical Probability, 2022, [arxiv], [journal]

• An ergodic theorem for asymptotically periodic time-inhomogeneous Markov processes, with application to quasi-stationarity with moving boundaries, Accepted for publication in the Advances in Applied Probability 55.2 (June 2023), 2020, [arxiv]

• Convergence to quasi-stationarity through Poincaré inequalities and Bakry-Emery criteria, Electronical Journal of Probability, 2021, [arxiv], [journal]

• Polynomial rate of convergence to the Yaglom limit for Brownian motion with drift, Electronical Communication in Probability, 2020, [arxiv], [journal]

• Quasi-stationarity for one-dimensional renormalized Brownian motion, ESAIM : Probability and Statistics, 2020, [arxiv] , [journal]

• Q-processes and asymptotic properties of Markov processes conditioned not to hit moving boundaries, Stochastic Processes and their Applications, 2020, [arxiv], [journal]

• Quasi-stationarity and quasi-ergodicity for discrete-time Markov chains with absorbing boundaries moving periodically, ALEA, 2018, [arxiv],[jounal]

• Convergence of a non-failable mean-field particle system (with Denis Villemonais), Stochastic Analysis and Applications, 2017, [arxiv], [journal]

Preprints :

• Quasi-compactness criterion for strong Feller kernels with an application to quasi-stationary distributions (with Michel Benaïm, Nicolas Champagnat and Denis Villemonais), 2022, [HAL]

• A central limit and Berry-Esseen theorem for continuous-time Markov processes conditioned not to be absorbed, 2022, [arxiv]

• Degenerate processes killed at the boundary of a domain (with Michel Benaïm, Nicolas Champagnat and Denis Villemonais), 2021, [arxiv]