Research

I work in mathematical physics, with a particular focus on determinantal point processes, orthogonal polynomials, and integrable systems. My research explores key quantities associated with these models, such as gap probabilities and generating functions, and investigates their deep connections with integrable equations—including Painlevé equations and the Korteweg–de Vries (KdV) equation. During my PhD, I studied how these quantities can be expressed in terms of integrable systems. In my current postdoctoral work, I continue to pursue these questions, with additional interest in describing the asymptotic behavior of these models, especially in the setting of deformations of orthogonal polynomial ensembles.

Below is a list of my publications.

Preprints

-C. E. Candido, V. Alves, T. Chouteau, C. F. Santos, G. L. F. Silva "Deformations of OP ensembles in a bulk critical scaling", (2025)

Lien Arxiv: https://arxiv.org/abs/2506.05622

Publications

-T. Chouteau "A Riemann Hilbert approach to the study of the generating function associated to Pearcey process", Math Phys Anal Geom, 26, 10 (2023)

Lien MPAG: https://doi.org/10.1007/s11040-023-09455-8

Lien Arxiv: https://arxiv.org/abs/2209.02411

-T. Chouteau & S. Tarricone "Recursion relation for Toeplitz determinants and the discrete Painlevé II hierarchy", Sigma 19, 030, 30 pages (2023)

Lien SIGMA: https://doi.org/10.3842/SIGMA.2023.030

Lien Arxiv: https://arxiv.org/abs/2211.16898

PhD thesis

Determinantal point processes related to the discrete Painlevé II hierarchy and the Pearcey process

under the supervision of Mattia Cafasso.

The defense was held on October 20, 2023 at the mathematics department LAREMA of the University of Angers

Link to manuscript

Referees: Olivier Marchal and Guilherme L.F. Silva.

Jury members: Marco Bertola, Jérémie Bouttier, Mattia Cafasso, Clotilde Fermanian-Kammerer (Jury President), Taro Kimura and Guilherme L.F. Silva.

Coauthors

My research is carried out in collaboration with several colleagues in mathematical physics and probability theory, with whom I share a common interest in integrable models and asymptotic analysis:

Victor Alves, Caio Candido, Charles Santos, Guilherme Silva and Sofia Tarricone.

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