We consider a class of two-dimensional tight binding models displaying conical intersections of the Bloch bands at the Fermi level. The setting includes the case of generic transitions between quantum...
This paper addresses the asymptotics of functionals with linear growth depending on the Riesz s-fractional gradient on piecewise constant functions. We consider a general class of varying energy densi...
Kähler hyperbolic manifolds were introduced by Gromov around thirty years ago. In his seminal paper he showed that this class of Kähler manifolds enjoys several remarkable properties: for instance the...
This work focuses on the propagation dynamics of the Fisher-KPP equation featuring spatial nonlocal diffusion. In contrast to classical local diffusion, where the propagation shape is solely determine...
Tumour-induced angiogenesis, which is the mechanism by which a solid tumour promotes the growth of new blood vessels to sustain its own progression, is a biologically complex phenomenon that poses non...
In the past 20 years, an increasingly clear picture connecting knot invariants, automorphic forms, and curve counting on Calabi-Yau 3-folds has emerged. Much of the geometry in this picture can be exp...
Abstract: In recent years, the analysis of topologically ordered ground states of 2d quantum lattice systems in the thermodynamic limit has been developed to provide a rigorous invariant of gapped pha...
There are classical results showing that if a negatively closed manifold has its horospheres of constant mean curvature then it is locally symmetric. Here we shall present a rigidity result involving...
Le proprietà aritmetiche dei numeri interi suscitano interesse sin dagli albori della matematica e un ruolo privilegiato è ricoperto dai numeri primi. Partendo da alcuni risultati classici, arriveremo...
