In this talk, we present a strong form of the quantitative fractional isoperimetric inequality. In particular, we show that the square root of the fractional isoperimetric deficit controls not only th...
The purpose of this talk will be to analyze the 2d Navier-Stokes equations in a half plane with no-slip boundary conditions, when the initial vorticity is a Dirac mass (point vortex) located at finite...
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...
The bounded derived category of coherent sheaves on a smooth
projective variety X is an invariant that encodes several geometric
properties of the variety. Remarkable invariants are the
topological...
The bounded derived category of coherent sheaves on a smooth
projective variety X is an invariant that encodes several geometric
properties of the variety. Remarkable invariants are the
topological...
Stochastic Shortest Path (SPP) problems are Markov Decision Processes that have many applications in discrete settings but can also be used to produce discretizations of stationary Hamilton-Jacobi-Bel...
I will report on a joint work in progress with I. Biswas, E. Colombo and A. Ghigi in which we describe a canonical projective structure on every etale double cover of a curve $C$ of genus $g>6$. Th...
Finding smooth interpolations between probability measures is a problem of broad interest, with natural applications, e.g., in biology (trajectory inference) and computer graphics (image interpolation...
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...
In this talk, I will present the two-dimensional analogue of the asymptotics for Toeplitz determinants with Fisher-Hartwig singularities, for general real symbols. A key focus of the talk will be the ...
