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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.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…