I'm postdoc since September 1st, 2022, in David Ginsbourger's team and in Riccardo Gatto's team, in the Institute of Mathematical Statistics and Actuarial Science.
I obtained my PhD in the IMT laboratory in Toulouse, in the Probability team, under the supervision of Patrick Cattiaux and Manon Costa. My defense was in July 2022.
My resume is available in English .
(Last update: 2022/09/06).
I’m interested in several stochastic processes, in particular in ones which can be applied in biology.
In my postdoc position, I'm studying process driven by SDE, which models efficacy changes in drug therapy (loss of efficacy with the time, and random emergence of better cure).
During my thesis, I worked on Hawkes process, which are jump processes. They model various phenomenas, such as occurrence of earthquakes – which is their traditional application, but isn’t used anymore - , spread of neuronal information, publications on social networks, etc. I studied their asymptotic behaviors when they are non-linear and inhibited.
To that end, I worked on more general processes, named cumulative processes, in order to obtain large deviations inequalities.
I've also studied processes following FitzHugh-Nagumo equations. They are continuous path processes. These equations model neuronal activity, in a simple way. In particular, I study propagation of chaos properties in a mean-field framework.
I also had the opportunity to make my internship of Master 1 in one of the pharmaceutical laboratory Servier, and to study compartment pharmacokinetic models.
Some talks were not on-site, but were online in visioconference. When it was the case, it is indicated. The default is on-site talks.
You can see the introduction on Hawkes processes and an insight of my work in the slides of my talk at the Seminary of PhD Students in Nantes.
I outlined cumulative process (also named renewal-reward process, or renewal compound process) in the short talk of Young Probabilists and Statiscians colloquium in October 2021. You'll find the slides here .
Basic facts in Probability. Estimation, confidence intervals. Statistical tests.
Python 3. Euclidean algorithm, exponentiation by squaring, congruences.
Basic facts in Probability. Estimation, confidence intervals. Statistical tests.
Probability, sequences, usual functions, derivation, integration, ODE
Probability, sequences, usual functions, derivation, integration, ODE
Python 3. Monte-Carlo Method, Gaussian Model, Branching process, Poisson process, etc.
Postdoc position on process driven by SDE, which models random changes in drug therapy.
Under the supervision of Patrick Cattiaux and of Manon Costa.
Title : On asymptotic behavior of stochastic processes in neuroscience
Defense : July 4th, 2022
Jury :
Lycée Champollion, Grenoble. MP* branch, Informatic option.
Institut für Mathematische Statistik und Versicherungslehre
Alpeneggstrasse 22
3012 Bern (Suisse)
Bureau -104 (étage -1)