I will discuss a variant of the classical optimal transport dynamical problem, in which the entropy along the curve is minimized additionally to the kinetic energy.This results into a regularizat...
In this talk, I will present recent results on two-dimensional Bose gases with attractive interactions. More precisely, I will discuss the validity of Hartree theory, which states that the ground stat...
I will describe the more recent developments starting from the results contained in two joint works with I. Birindelli and H. Ishii. In [1] we extend to fully nonlinear operators of the we...
Motivated by the study of periodic Hamiltonians enjoying chiral or particle-hole symmetry, like the SSH model or the Kitaev chain, we present a topological study of families of symmetric functions fro...
The Poisson boundary is a measure-theoretic object attached to a group equipped with a probability measure, and is closely related to the notion of harmonic function on the group. In many cases, the g...
We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in $\mathbb R^n$ (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking adv...
We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in ℝn (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking advantage of a...
L’iniziativa è organizzata dal gruppo “BrainJuice”, una rete di studenti e ricercatori attivi nella comunicazione e divulgazione scientifica nei campi delle neuroscienze e dell’intelligenza artificial...
The behavior of the Ising model under external control mechanisms is of interest in a wide variety of applications, including biological systems, social dynamics, and information processing. In this t...
The dynamical formulation of optimal transport
between two probability measures $\mu_0,\mu_1$ on a (sub)Riemannian manifold $M$, aims at minimizing
the square integral of a Borel family of vector fiel...
A classical rigidity result of Alexandrov asserts that if $ 1 \leq k \leq n $ is an integer and $ \Sigma $ is a compact $ C^2 $-regular hypersurface of $ \mathbf{R}^{n+1} $ such that the $ k $-th mea...
