Dominique Malicet

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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

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

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