89 citations · 525 across the 28 of their papers we have counts for
7 papers · 1 filter
On the determinant in Bray-Moore's TAP complexity formula
David Belius, Francesco Concetti, Giuseppe Genovese
In the computation of the TAP complexity, originally carried out by Bray and Moore, a fundamental step is to calculate the determinant of a random Hessian. As the replica method do…
Pattern reconstruction with restricted Boltzmann machines
Giuseppe Genovese
Restricted Boltzmann machines are energy models made of a visible and a hidden layer. We identify an effective energy function describing the zero-temperature landscape on the visi…
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation
Giuseppe Genovese, Renato Lucá, Nikolay Tzvetkov
The BBM equation is a Hamiltonian PDE which revealed to be a very interesting test-model to study the transformation property of Gaussian measures along the flow. In this paper we…
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…
Local Central Limit Theorem for a Random Walk Perturbed in One Point
Giuseppe Genovese, Renato Lucà
We consider a symmetric random walk on the -dimensional lattice, whose exit probability from the origin is modified by an antisymmetric perturbation and prove the local central…
Random Walk on Lattice with an Antisymmetric Perturbation in One Point
Giuseppe Genovese, Renato Lucà
We study an homogeneous irreducible markovian random walk in a square lattice of arbitrary dimension, with an antisymmetric perturbation acting only in one point. We compute exactl…
Universality in bipartite mean field spin glasses
Giuseppe Genovese
In this work we give a proof of universality with respect to the choice of the statistical distribution of the quenched noise, for mean field bipartite spin glasses. We use mainly…