3 papers
math.PR2025
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…
math.PR2020
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…
math.PR2018
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…