Ronan Herry

collaborators

3 papers

math.PR2024

Limit distributions for polynomials with independent and identically distributed entries

Ronan Herry, Dominique Malicet, Guillaume Poly

We characterize the limiting distributions of random variables of the form $P_{n} ((X_{i})_{i \geq 1})$ , where: (i) $(P_{n})_{n \geq 1}$ is a sequence of multivariate polynomia…

math.PR2024

The Brenier-Schrödinger problem with respect to Feller semimartingales and non-local Hamilton-Jacobi-Bellman equations

Ronan Herry, Baptiste Huguet

Motivated by a problem from incompressible fluid mechanics of Brenier (JAMS 1989), and its recent entropic relaxation by Arnaudo, Cruizero, Léonard & Zambrini (AIHP PS 2020), we st…

math.PR2024

Sharp total variation rates of convergence for fluctuations of linear statistics of $β$ -ensembles

Jürgen Angst, Ronan Herry, Dominique Malicet +1

In this article, we revisit the question of fluctuations of linear statistics of beta ensembles in the single cut and non-critical regime for general potentials $V$ under mild regu…

Limit distributions for polynomials with independent and identically distributed entries

The Brenier-Schrödinger problem with respect to Feller semimartingales and non-local Hamilton-Jacobi-Bellman equations

Sharp total variation rates of convergence for fluctuations of linear statistics of β-ensembles

Sharp total variation rates of convergence for fluctuations of linear statistics of $β$ -ensembles