Welcome Aurélien Velleret
CV LIn ReGa

Les probabilités
au service de la modélisation,
structurelle, dynamique et efficace,
des interactions en grandes populations

via notamment le conditionnement de loi de probabilités

mots-clés : Limites d'échelle des modèles à base d'agents, théorie des grandes déviations, distributions quasi-stationnaires (QSD), Q-processus, capacité de survie,
adaptation, sélection, transmission épidémique, structures des interactions




Publications

Unique Quasi-Stationary Distribution, with a possibly stabilizing extinction

Stochastic Processes and Applications, V. 148, pp.98-138, doi:10.1016/j.spa.2022.02.004,
arxiv.org/abs/1802.02409

Exponential quasi-ergodicity for processes with discontinuous trajectories

preprint: https://arxiv.org/abs/1902.01441

Two level natural selection with a quasi-stationarity approach

preprint: https://arxiv.org/abs/1903.10161

Individual based SIS models on (not so) dense large random networks

preprint: https://arxiv.org/abs/2302.13385

Individual-based models under various time-scales

ESAIM: Proceedings and Surveys, 2020, Vol.68, pp.123-152

Adaptation of a population to a changing environment under the light of quasi-stationarity

preprint: https://arxiv.org/abs/1903.10165

Quasi-stationarity in the Müller's ratchet model

joint work with M. Mariani and E. Pardoux
preprint: https://arxiv.org/abs/2007.14715




Exposés oraux

Séminaire de l'équipe PEIPS, CMAP, Polytechnique
Nov' 2022

Asymptotic Comparison of Clicking Ability in Müller's ratchet
Slides ​Video

German Probability and Statistics Days Mannheim: ​www.stochastiktage-mannheim.de
Sep' 2021

Séminaire ALEA à Marseille, March 2018