7 papers
Exact Asymptotics for the 2D Euclidean Random Matching Problem
Victor Armegioiu, Michael Goldman, Francesco Grotto +1
We determine the exact first-order asymptotics of the expected optimal cost in two-dimensional random bipartite matching, for every finite power cost , on the flat torus.…
Fluctuations of Point Vortex Ensembles at Small Negative Inverse Temperature
Francesco Grotto
The vorticity distribution associated to canonical Gibbs point vortex ensembles under mean field scaling has Gaussian fluctuations for small negative inverse temperature. The pertu…
The Missing Central Limit Theorems for Local Functionals of Berry's Random Wave Model
Francesco Grotto
Central Limit Theorems for integrals of third degree Hermite polynomials of Berry's random wave model on increasingly large domains are proved in dimensions 2 and 3. These were the…
Fluctuations of Polyspectra in Spherical and Euclidean Random Wave Models
Francesco Grotto, Leonardo Maini, Anna Paola Todino
We consider polynomial transforms (polyspectra) of Berry's model -- the Euclidean Random Wave model -- and of Random Hyperspherical Harmonics. We determine the asymptotic behavior…
Nonlinear Functionals of Hyperbolic Random Waves: the Wiener Chaos Approach
Francesco Grotto, Giovanni Peccati
We consider Gaussian random waves on hyperbolic spaces and establish variance asymptotics and central limit theorems for a large class of their integral functionals, both in the hi…
Infinitesimal Invariance of Completely Random Measures for 2D Euler Equations
Francesco Grotto, Giovanni Peccati
We consider suitable weak solutions of 2-dimensional Euler equations on bounded domains, and show that the class of completely random measures is infinitesimally invariant for the…
Essential Self-Adjointness of Liouville Operator for 2D Euler Point Vortices
Francesco Grotto
We analyse the 2-dimensional Euler point vortices dynamics in the Koopman-Von Neumann approach. Classical results provide well-posedness of this dynamics involving singular interac…