We start by reviewing the classical spectral theory of the Dirichlet-Laplacian, on a general open set. It is well-known that the spectrum may fail to be purely discrete, in this generality. We then tu...
ATTENZIONE al cambio dell’ora. Proseguiremo la discussione della congettura del cono per le varietà di Calabi–Yau in dimensione superiore. Questa scuola è parte dei progetti del Dipartimento di Eccell...
This talk presents quantitative central limit theorems for fully connected neural networks with both Gaussian and non-Gaussian initialization, when the network width tends to infinity and the network ...
Il clima sta cambiando rapidamente. Dobbiamo farlo anche noi, non considerando scontati privilegi consolidati dal tempo, usi e tradizioni dei luoghi, organizzazioni politiche e sociali, e le espressio...
Abstract: I present some results and open problems concerning the long-time behavior of solutions to collisionless kinetic equations of Vlasov type. These are nonlinear transport equations describing ...
The theory of currents provides a powerful framework for studying geometric and variational problems where classical oriented surfaces are insufficient. Metric currents generalize this theory to space...
The full symmetric Toda system is a Hamilton system on the space
of real symmetric matrices, given by the Lax equation \dot L=[M(L),L],
where M(L) is the naive antisymmetrisation of the symmetric matr...
The argument shift method is a simple but efficient way to produce a
commutative subalgebra in a Poisson algebra, in particular in the symmetric
algebra of a Lie group. Its main ingredient is an opera...
It is a long-standing question to resolve the singularities of algebraic
varieties by Nash-blowups. This is a very natural process associating to
smooth points their tangent space and to then take the...
We present a general framework for high-order hierarchical dynamic domain decomposition methods for the Boltzmann equation based on moment realizability matrices, a concept introduced by Levermore, Mo...
