Évènement

Thomas CHOUTEAU
Universidade de São Paulo

Date(s) : 23/06/2026   iCal
14h30 - 15h30

Orthogonal Polynomial Ensembles (OPEs) are an important class of
determinantal point processes arising naturally from families of orthogonal
polynomials. Their structure is encoded in their correlation functions,
which can be expressed in terms of the associated Christoffel–Darboux
kernel.

In this talk, I will first introduce OPEs from a probabilistic perspective
and explain how orthogonal polynomials naturally enter the picture.
Particular interest will be placed on the role of the Christoffel–Darboux
kernel and on classical connections with random matrix theory, including
universality phenomena in the large-particle limit.

In the second part of the talk, I will discuss a class of deformations of
OPEs that can be interpreted as a thinning of the underlying point process.
Focusing on a bulk critical scaling regime, I will present recent joint
work with collaborators in Brazil showing how the large-scale behavior of
the particles is governed by an integrable structure involving an
integro-differential Painlevé V equation.

This presentation is based on the paper *Deformations of Orthogonal
Polynomial Ensembles in a Bulk Critical Scaling* (*Nonlinearity*) and was
partially supported by FAPESP projects 23/10533-8 and 25/06240-0.

Emplacement
I2M Saint-Charles - Salle de séminaire

Catégories

• Séminaire