Research

My PhD supervisor is professor C. Sabot. You can download my PhD thesis Reinforced random walks and random Schrödinger operators.

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
  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) Journal of Spectral Theory
  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
  6. Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process (joint with C. Sabot) Annals of Probability
  7. Speed of Vertex reinforced jump process on Galton-Watson trees (joint with X. Chen) Journal of Theoretical Probability
  8. A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs (joint with C. Sabot) Journal of the AMS
  9. The Vertex Reinforced Jump Process and a Random Schrödinger operator on finite graphs. (joint with C. Sabot, P. Tarrès) Annals of Probability
  10. How Vertex reinforced jump process arises naturally. Annales de l’institut Henri Poincaré
  11. A Russo Seymour Welsh Theorem for critical site percolation on \(\mathbb{Z}^2 \). Master thesis.

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 advances in random walks and random environments, ESAIM: Proceedings and surveys link