My thesis :
I'm interested in modelling brain activity: the individual activity of each neuron and oscillations in the activity of different brain areas. More specifically, I'm looking to model the coupled interactions between spike trains and brain rhythms. I am therefore working on hybrid processes combining Hawkes processes and Autoregressive processes. Then, I am developing statistical tools to infer the functional connectivity of the brain from these stochastic models. We then plan to explore the multifractal properties of the LFP signal.
Research interests :
Hawkes processes
Autoregressive processes
Statistical estimation
LASSO procedure
Publications :
Exponential moments for Hawkes processes under minimal assumptions (Electronic Communication in Probability, 2024)
Talks :
Joint talk with Stefano Spaziani at the ICMNS 2024 conference in Dublin on "Heterogeneous spike-LFP process in the brain: theoretical properties and functional connectivity estimation".
ChaMaNe 2025 in Ile-Rousse, Corsica on "Hawkes AutoRegressive processes, A Coupled model for brain rhythms and neurons functional connectivity".