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.
- 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
- Discrete parametric graphical models with a Dirichlet type priors (Joint with B. Kołodziejek, J. Wesołowski) Arxiv 2301.06058
- 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
- On \(H^{2|2}\) Isomorphism theorems and reinforced loop soup (Joint with Y. Chang, DZ. Liu) Arxiv 1911
- A note on recurrence of the Vertex reinforced jump process and fractional moments localization. (joint with A. Collevecchio) Electronic Journal of Probability
- Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process (joint with C. Sabot) Annals of Probability
- Speed of Vertex reinforced jump process on Galton-Watson trees (joint with X. Chen) Journal of Theoretical Probability
- A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs (joint with C. Sabot) Journal of the AMS
- The Vertex Reinforced Jump Process and a Random Schrödinger operator on finite graphs. (joint with C. Sabot, P. Tarrès) Annals of Probability
- How Vertex reinforced jump process arises naturally. Annales de l’institut Henri Poincaré
- A Russo Seymour Welsh Theorem for critical site percolation on \(\mathbb{Z}^2 \). Master thesis.
And some proceedings papers of Journées MAS: