Research

I'm officially pursuing a PhD on "Modeling of Large Communication Networks". In that context, I'm mostly working with stochastic geometry applied to communication networks. In a more general context, I'm interested in probability on discrete structures. From stat mech (percolation, spin, ...) models to unimodular random structures, there's lots to be interested in (and to learn) !

Papers

2025

Stochastic domination and lifts of random variables in percolation theory ( https://doi.org/10.48550/arXiv.2504.02427), with Sébastien Martineau and Rémy Poudevigne-Auboiron, Submitted.
This is essentially a technical lemma for stochastic dominations in a context where one "lifts" a sequence of random variables from a quotient set to a bigger one following a section. We establish necessary and sufficient conditions for this lemma to hold, and revisit some proof in Percolation theory at the light of it.