18 citations · 45 across the 8 of their papers we have counts for
4 papers · 1 filter
Gibbs Equilibrium Fluctuations of Point Vortex Dynamics
Francesco Grotto, Eliseo Luongo, Marco Romito
We consider a system of N point vortices in a bounded domain with null total circulation, whose statistics are given by the Canonical Gibbs Ensemble at inverse temperature $β\geq 0…
Gaussian invariant measures and stationary solutions of 2D Primitive Equations
Francesco Grotto, Umberto Pappalettera
We introduce a Gaussian measure formally preserved by the 2-dimensional Primitive Equations driven by additive Gaussian noise. Under such measure the stochastic equations under con…
Equilibrium Statistical Mechanics of Barotropic Quasi-Geostrophic Equations
Francesco Grotto, Umberto Pappalettera
We consider equations describing a barotropic inviscid flow in a channel with topography effects and beta-plane approximation of Coriolis force, in which a large-scale mean flow in…
A Central Limit Theorem for Gibbsian Invariant Measures of 2D Euler Equations
Francesco Grotto, Marco Romito
We consider Canonical Gibbsian ensembles of Euler point vortices on the 2-dimensional torus or in a bounded domain of R 2 . We prove that under the Central Limit scaling of vortice…