My PhD supervisor is professor C. Sabot. You can download my PhD thesis here.

I organize the Stochastic calculus seminar at IRMA of Strasbourg university.

My research interests encompass probability, random operators, statistical mechanics, quantum field theory, and Bayesian statistics. Specifically, I work on the vertex reinforced jump process and its connections to the super-symmetric hyperbolic sigma model. Overall, I have a keen interest in mathematical physics.

Below is the list of my works.

  1. A multi-dimensional version of Lamperti’s relation and the Matsumoto-Yor processes (Joint with T. Gerard, V. Rapenne, C. Sabot) Stochastic Processes and their Applications download
  2. Discrete parametric graphical models with a Dirichlet type priors (Joint with B. Kołodziejek, J. Wesołowski) Arxiv 2301.06058
  3. Phase transition in the Integrated Density of States of the Anderson model arising from a supersymmetric sigma model (Joint with M. Disertori, V. Rapenne, C. Rojas-Molina) Arxiv 2211.10268
  4. On \(H^{2|2}\) Isomorphism theorems and reinforced loop soup (Joint with Y. Chang, DZ. Liu) Arxiv 1911
  5. A note on recurrence of the Vertex reinforced jump process and fractional moments localization. (joint with A. Collevecchio) Electronic Journal of Probability download
  6. Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process (joint with C. Sabot) Annals of Probability download
  7. Speed of Vertex reinforced jump process on Galton-Watson trees (joint with X. Chen) Journal of Theoretical Probability download
  8. A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs (joint with C. Sabot) Journal of the AMS download
  9. The Vertex Reinforced Jump Process and a Random Schrödinger operator on finite graphs. (joint with C. Sabot, P. Tarrès) Annals of Probability download
  10. How Vertex reinforced jump process arises naturally. Annales de l’institut Henri Poincaré download
  11. A Russo Seymour Welsh Theorem for critical site percolation on Z2 (Master thesis) http://arxiv.org/abs/1309.2273

And some proceedings papers of Journées MAS:

  1. Interacting particle systems, ESAIM: PROCEEDINGS AND SURVEYS, 2017, Vol. 60, p. 246-265 link
  2. Some recent advences in random walks and random environments, ESAIM: PROCEEDINGS AND SURVEYS link