Abstract: Quantum computers exploit the incredible possibilities of quantum mechanics to significantly enhance computing power, compared with the computers currently available based on a conventional ...
In recent decades, the study of many-body systems has been an active area of research in both physics and mathematics. In this talk, we will consider a system of N spin 1/2 interacting fermions confin...
We present a study of spectral gaps, entropy production and log Sobolev inequalities for some Lindblad equations modeling systems of N particles interacting pairwise. The bounds obtained, some o...
Neural networks have become a powerful tool in various domains of scientific research and industrial applications. However, the fundamental working principles of neural architectures still lacks of a ...
The correlation energy of a high density fermionic Coulomb gas, called Jellium, is expected to be given by the Gell-Mann Brueckner formula. I will discuss an analogue of this formula for the mean-fiel...
Dilute Bose gases interacting through a positive, pairwise, radial potential have a common expression for the first terms of the energy density expansion given by the so-called Lee-Huang-Yang (LHY) fo...
In this talk I will discuss a family of Gibbsian measures on the set of Laguerre tessellations. These measures may be used to provide a systematic approach for constructing Gibbsian solutions to Hamil...
La Meccanica Quantistica si afferma negli anni 1925/26 grazie soprattutto ai lavori di Heisenberg e di Schroedinger. Nel seminario, dopo una breve premessa sul contesto storico, si discuteranno le ide...
The diffusive hydrodynamic limit of the Boltzmann equation in the low Mach number regime is usually described by the incompressible Navier-Stokes-Fourier equations. When the density and temperature at...
