The Dynamical Manin-Mumford problem is a dynamical question inspired by classical results from arithmetic geometry. Given an algebraic dynamical system (X,f), where X is a projective variety and f is ...
We present a new Mountain Pass Theorem for a class of functionals that depends on two arguments which only partially satisfies the Palais-Smale condition. This abstract functional setup will be a...
Un’evidente criticità dei modelli d’insegnamento/apprendimento disciplinare è la scissione dei ruoli tra le discipline scientifiche, spesso troppo orientate alla formazione tecnica, e le discipline um...
Digital models (DMs) are designed to be replicas of systems and processes. At the core of a digital model (DM) is a physical/mathematical model that captures the behavior of the real system across tem...
We discuss existence and non-existence results for non-negative super-solution to a class of gradients-potential systems with Hardy terms. In particular the existence of optimal critical curves that s...
Bryant’s Laplacian flow is an analogue of Ricci flow that seeks to flow an arbitrary initial closed \( G_2\)-structure on a 7-manifold toward a torsion-free one, to obtain a Ricci-flat metric with hol...
Fano varieties are projective varieties with “positive curvature”. Examples of Fano varieties are projective spaces, products of projective spaces, Grassmannians and hypersurfaces in projective spaces...
Classical spin-glass models such as Sherrington-Kirkpatrick's are paradigms for complex disordered systems. In 1980, Parisi described their thermodynamic behaviour using a novel order parameter that c...
Nonlinear Liouville equations are self consistent 1-degree of freedom (or d-degrees of freedom) Hamiltonian systems, like Vlasov Poisson Equation (VPE); 2D Euler ; and the Hamiltonian mean field model...
