# Research

I mainly work on the edge reinforced random walk and the vertex reinforced jump process, this is a topic in the intersection of

- sigma model / statistical mechanics,
- self interacting random process,
- random Schrodinger operators.

My general research interests are probability, statistical mechanics, mathematical physics and their applications.

## Publications and preprints

A multi-dimensional version of Lamperti’s relation and the Matsumoto-Yor opposite drift theorem (

*Joint with T. Gerard, C. Sabot*) Arxiv 2004On \(H^{2|2}\) Isomorphism theorems and reinforced loop soup (

*Joint with Y. Chang, DZ. Liu*) Arxiv 1911A note on recurrence of the Vertex reinforced jump process and fractional moments localization. (

*joint with A. Collevecchio*) Electronic Journal of ProbabilityHitting times of interacting drifted Brownian motions and the vertex reinforced jump process (

*joint with C. Sabot*) Annals of ProbabilitySpeed 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 AMSThe 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) http://arxiv.org/abs/1309.2273