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math.PR2026
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.…
math.PR2026
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…
math.PR2026
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…