Classical q-shuffle algebras provide combinatorial models for the positive half U_q(n) of a finite quantum group. We define a loop version of this construction, yielding a combinatorial model for the...
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...
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...
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...
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 model the uncertainties in (random) coefficient functions of an elliptic partial differential equation by expanding these coefficients as function series with scalar random coefficients. This gives...
