12 citations · 31 across the 15 of their papers we have counts for
15 papers
Gradient flow of the infinite-volume free energy for lattice systems of continuous spins
Ronan Herry, Thomas Leblé
We consider an infinite lattice system of interacting spins living on a smooth compact manifold, with short- but not necessarily finite-range pairwise interactions. We construct th…
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…
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…
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…
Regularity of laws via Dirichlet forms -- Application to quadratic forms in independent and identically distributed random variables
Ronan Herry, Dominique Malicet, Guillaume Poly
We study the regularity of the law of a quadratic form , evaluated in a sequence of independent and identically distributed random variables, when can…
Superconvergence phenomenon in Wiener chaoses
Ronan Herry, Dominique Malicet, Guillaume Poly
We establish an unexpected phenomenon of strong regularization along normal convergence on Wiener chaoses. For every sequence of chaotic random variables, convergence in law to the…
Wasserstein geometry and Ricci curvature bounds for Poisson spaces
Lorenzo Dello Schiavo, Ronan Herry, Kohei Suzuki
Let be the configuration space over a complete and separable metric base space, endowed with the Poisson measure . We study the geometry of from the…
Polyharmonic Fields and Liouville Quantum Gravity Measures on Tori of Arbitrary Dimension: from Discrete to Continuous
Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer +1
For an arbitrary dimension , we study: (a) the Polyharmonic Gaussian Field on the discrete torus , that is th…
A short proof of the strong three dimensional Gaussian product inequality
Ronan Herry, Dominique Malicet, Guillaume Poly
We prove the strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or com…
Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension
Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer +1
For large classes of even-dimensional Riemannian manifolds , we construct and analyze conformally invariant random fields. These centered Gaussian fields , called co-…
A note on the carré du champ on the Poisson space
Ronan Herry
The goal of this short note is to establish, in complete generality, the representation for the carré du champ operator associated with the Ornstein-Uhlenbeck semi-group on the Poi…
Transport inequalities for random point measures
Nathael Gozlan, Ronan Herry, Giovanni Peccati
We derive transport-entropy inequalities for mixed binomial point processes, and for Poisson point processes. We show that when the finite intensity measure satisfies a Talagrand t…
Stable limit theorems on the Poisson space
Ronan Herry
We prove limit theorems for functionals of a Poisson point process using the Malliavin calculus on the Poisson space. The target distribution is conditionally either a Gaussian vec…
Multiple sets exponential concentration and higher order eigenvalues
Nathaël Gozlan, Ronan Herry
On a generic metric measured space, we introduce a notion of improved concentration of measure that takes into account the parallel enlargement of k distinct sets. We show that the…
On logarithmic Sobolev inequalities for the heat kernel on the Heisenberg group
Michel Bonnefont, Djalil Chafaï, Ronan Herry
In this note, we derive a new logarithmic Sobolev inequality for the heat kernel on the Heisenberg group. The proof is inspired from the historical method of Leonard Gross with the…