Abstract:Oltre alla fisica e alla matematica, la Meccanica Quantistica ha rivoluzionato le esistenze degli uomini e delle donne, rendendo possibili dispositivi prima impensabili: le invenzioni del tra...
In 1927, Artin formulated his famous conjecture on primitive roots. The most basic question, which is still open, is as follows. For an odd prime number \(p\), we say that \(2\) is a primitive root mo...
Abstract: For a stochastically stationary Hamiltonian ODE in a Euclidean space, the set of periodic orbits yields a translation invariant random process. In this talk I will discuss an ergodic theorem...
This seminar is part of the activities of the Excellence Department Project CUP B83C23001390001 and it is funded by the European Union – Next Generation EU.We consider solutions to some semilinear ell...
Abstract: In this talk, we explore large-scale interacting systems that explain macroscopic phenomena through the movement of microscopic particles. These systems are modeled by discrete lattices wher...
On non-smooth domains, elliptic regularity for solutions of boundary value problems, measured by Sobolev norms, will only hold for a restricted set of regularity indices, due to singularities of the s...
The regularity of solutions of the Dirichlet problem for the Laplace operator in corner domains is limited by the existence of harmonic functions that are zero on the boundary of some tangent cones. T...
Abstract: La nozione di entropia topologica, derivante dalla teoria dell’informazione, è uno strumento fondamentale per comprendere la complessità di un sistema dinamico.Quando il sistema ...
We consider a Lane-Emden problem in a smooth bounded domain. When the exponent p of the nonlinearity is large, the existence and multiplicity of solutions strongly depend on the geometric properties o...
Abstract: Many systems of interest in the applied sciences share the common feature of possessing multiple scales, either in time or in space, or both. Some approaches to modelling focus on one scale ...
We study \(A_g\), the moduli space of principally polarized abelian varieties of dimension \(g\). The tautological ring, generated by the Chern classes of the Hodge bundle, was fully determined by Ger...
