Discuterò la disuguaglianza di Penrose riemanniana in una 3-varietà asintoticamente piatta, con curvatura scalare non negativa, e i punti principali di una nuova dimostrazione per mezzo di una formula...
In 1977 at the Cortona Conference on several complex variables the speaker proposed to make studies on "the K3 modular function". That is the explicit expression of the inverse of the period map for a...
The Yamabe problem is a classical problem about how to find Riemannian metrics of constant scalar curvature. This problem can be written as a PDE with unique positive solutions. On the other hand, the...
The Averaging process (a.k.a. repeated averages) is a mass redistribution model over the vertex set of a graph. Given a graph G, the process starts with a non-negative mass associated to each vertex. ...
I will provide a self-contained variational approach to state some classical and new results in the framework of Aubry-Mather theory. More precisely, I will discuss the expansion by Gamma-convergence ...
In this talk we aim at establishing large deviation estimates for the probability that a simple random walk on the Euclidean lattice (d>2) covers a substantial fraction of a macroscopic body. It tu...
The Schrödinger problem consists in finding the most likely evolution of a system of i.i.d. particles, conditionally on their initial and final configurations. In the last decade this problem has beco...
A.MA.CA. Si parlerà di proprietà qualitative di soluzioni di equazioni ellittiche su domini limitati con dato al bordo di Dirichlet. In particolare ci si soffermerà sul numero dei punti critici in re...
In this talk we discuss the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the existence of a homogenised ran...
On a bounded domain of the Euclidean space R2m,m>1, Adimurthi, Robert and Struwe pointed out that, even assuming a volume bound ∫e2mudx≤C, some blow-up solutions for prescribed Q-curvature equation...
I will start by giving an introductory overview of different notions of generalized crystals (including quasicrystals), unified by the requirement that their Fourier transforms are atomic. Then we stu...
