11 citations · 14 across the 3 of their papers we have counts for
5 papers
Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS
Giuseppe Genovese, Renato Lucà, Nikolay Tzvetkov
The periodic DNLS gauge is an anticipative map with singular generator which revealed crucial in the study of the periodic derivative NLS. We prove quasi-invariance of the Gaussian…
Legendre Equivalences of Spherical Boltzmann Machines
Giuseppe Genovese, Daniele Tantari
We study either fully visible and restricted Boltzmann machines with sub-Gaussian random weights and spherical or Gaussian priors. We prove the free energies of the spherical and G…
Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing
Livia Corsi, Giuseppe Genovese
We study the isotropic XY quantum spin chain with a time-periodic transverse magnetic field acting on a single site. The asymptotic problem can be mapped into a highly resonant Flo…
Overlap synchronisation in multipartite random energy models
Giuseppe Genovese, Daniele Tantari
In a multipartite random energy model, made of a number of coupled GREMs, we determine the joint law of the overlaps in terms of the ones of the single GREMs. This provides the sim…
A certain class of Curie-Weiss models
Giuseppe Genovese, Adriano Barra
By using a formal analogy between statistical mechanics of mean field spin systems and analytical mechanics of viscous liquids -at first pointed out by Francesco Guerra, then recen…