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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 , where: (i) is a sequence of multivariate polynomia…
math.PR2024
Sharp total variation rates of convergence for fluctuations of linear statistics of -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 under mild regu…
math.PR2015★ 22 cited
Squared chaotic random variables: new moment inequalities with applications
Dominique Malicet, Ivan Nourdin, Giovanni Peccati +1
We prove a new family of inequalities involving squares of random variables belonging to the Wiener chaos associated with a given Gaussian field. Our result provides a substantial…