Bienvenue Aurélien Velleret
CV LIn ReGa

Probabilities
in the service of structural,
dynamic and efficient modeling
of interactions in large populations

notably through the conditioning of probability distributions

keywords: Scaling limits of Agent-Based Models, Large deviation theory, Quasi-stationary distributions (QSD), Q-process, Survival capacity,
Adaptation, Selection, Epidemic transmission, Structures of 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: arxiv.org/abs/1902.01441

Two level natural selection with a quasi-stationarity approach

preprint: 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, p.123-152

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

preprint: arxiv.org/abs/1903.10165

Quasi-stationarity in the Müller's ratchet model

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




Talks and all

Seminar of the PEIPS team, 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
end of September 2021

Séminaire ALEA à Marseille, Mars 2018