È ben noto grazie a un lavoro di Ein del 1988 che le intersezioni complete molto generali di multigrado $(d_1,\dots, d_c)$ nello spazio proiettivo di dimensione $n$ non contengono curve razionali non ...
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...
Nel seminario esporrò un approccio al problema di ottimizzare il k-esimo autovalore
del Laplaciano con condizioni di Robin al variare della forma del dominio che utilizza una riformulazione in termini...
Nel seminario esporrò un approccio al problema di ottimizzare il k-esimo autovaloredel Laplaciano con condizioni di Robin al variare della forma del dominio che utilizza una riformulazione in termini ...
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 regularity of the reference domain in a boundary value problem plays a crucial role in determining
the global regularity of the solution. While classical results assume smooth domains, namely of c...
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...
A classical idea going back at least to work of Leon Simon (1997) is that Liouville theorems for solutions to elliptic or parabolic PDEs are equivalent to Schauder-type regularity estimates. In this t...
Exponential sums over finite fields are essential ingredients in the solution of many arithmetic problems. Their study often relies on algebraic geometry, and especially on Deligne's Riemann Hypothesi...
The Stochastic Sandpile Model is an interacting particle system introduced in the physics literature to study the mechanism of self-organized criticality. This model undergoes a phase transition when ...
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 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...
