Abstract: We discuss an extension of some results, obtained by E. Serra and P. Tilli ('12,'16), concerning an original conjecture by E. De Giorgi ('96) on a purely minimization approach to the Cauchy ...
Abstract: We review the main issues concerning the well-posedness (as suitable self-adjoint operators) of the Hamiltonians of two non interacting anyons, i.e., exotic particles obeying to fractional s...
Abstract: A central topic in mathematical physics is the investigation of quantum systems subject to very short range potentials, virtually supported on a nite set of points. In this talk, after a pre...
Abstract: I will present rigorous results on the effective properties of many-body systems consisting of multiple bosonic species. This will be based on joint works with A. Michelangeli and P.T. Nam. ...
Abstract: We discuss the time-dependent Gross-Pitaevskii (GP) approximation for interacting bosons in the Thomas-Fermi (TF) regime, i.e., for a mean-field interaction potential with shrinking support ...
In this course we will review recent work on the different upper bounds for the ground state energy of a gas of interacting bosons in the thermodynamic limit. We start by considering quasi-free states...
Abstract: We consider a system of non-relativistic bosons interacting through a regular, positive potential vv with scattering length aa. We give a simple proof that the ground state energy density sa...
The talk provides an overview of some recent work on random probability measure vectors and their role in Bayesian statistics. Indeed, dependent nonparametric priors are useful tools for drawing infer...
I will discuss some old and new results concerning a classical example featuring a metastable behavior: finite-dimensional diffusion processes in the vanishing noise limit. Sharp estimates have been i...
