My research deals with several models of statistical mechanics. In particular, my work is focused on the following topics:

• Self-organized criticality


• Spin O(n) model, Ising model


• Random loop models


• Activated random walks


• Percolation

I completed my PhD in 2020 at the mathematics department of Ecole normale supérieure (ENS) in Paris, under the supervision of Raphaël Cerf. My PhD thesis was about self-organized criticality (SOC). This concept aims at describing some physical systems which present a “critical” behaviour without having to tune a parameter like temperature to a critical value. Building upon percolation and the Ising model, we defined several toy models presenting this phenomenon.

Link to my PhD dissertation (in French)

Currently, I work with Lorenzo Taggi (in Rome, where I am now postdoc student) about random loop models which are connected with the Spin O(n) model. I also collaborate with Alexandre Gaudillière and Amine Asselah (in Marseille, where I was right after my PhD) about activated random walks.

Curriculum vitae

Publications

• A planar Ising model of self-organized criticality Probab. Theory Related Fields 180 (2021), 163-198, doi.org/10.1007/s00440-021-01025-9, arxiv.org/abs/2002.08337


• Some toy models of self-organized criticality in percolation (with Raphaël Cerf), ALEA, Lat. Am. J. Probab. Math. Stat. 19 (2022), 367–416, doi.org/10.30757/ALEA.v19-14, arxiv.org/abs/1912.06639

Preprints

• Active Phase for Activated Random Walks on the Lattice in all Dimensions (2022, with Alexandre Gaudillière), arxiv.org/abs/2203.02476


• An extension of the Ising-Curie-Weiss model of self-organized criticality with a threshold on the interaction range (2021), arxiv.org/abs/2110.07949


• An extension of the Ising-Curie-Weiss model of self-organized criticality with long range interactions (2021), arxiv.org/abs/2110.07948

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