22 citations · 80 across the 66 of their papers we have counts for
80 papers
Decoupling and Tail Laws for Small-Order Metric-Valued Nonlocal Energies: A Structural View of the Maz'ya--Shaposhnikova Formula
Andrea Pinamonti
We develop a measure-theoretic framework for small-order limits of nonlocal energies with metric-valued maps. For globally maps, we consider interaction measures whose margin…
Harmonic morphisms of sub-Riemannian Lie groups
Sebastiano Nicolussi Golo, Andrea Pinamonti, Ben Warhurst
We prove that harmonic morphisms between sub-Riemannian Lie groups are smooth, are symmetries of the sub-Riemannian Laplacian and are conformal submersions that satisfy a particula…
Heat content and spectrum for subordinated sub-Laplacians
Maria Gordina, Liangbing Luo, Andrea Pinamonti +1
We study heat content and spectral properties of subordinated sub-Laplacians on arbitrary Carnot groups. We consider restrictions of such operators to bounded open sets with zero D…
Sharp refined-direction Kakeya estimates in finite Heisenberg groups
Thang Pham, Andrea Pinamonti, Dung The Tran +1
Let and let be an odd prime power. The first aim of this paper is to prove that, for every and every , the following sharp…
A 'global' Perspective on the Differential Geometry of Wasserstein Spaces
Lorenzo Dello Schiavo, Andrea Pinamonti
We develop a global differential calculus on the -Wasserstein space over a closed Riemannian manifold, based on derivations of cylinder functions rather than on the standard p…
A non-convergence phenomenon for the CR Yamabe flow
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We construct a contact form on a three dimensional CR manifold such that the CR Yamabe flow fails to converge. More precisely, on small Rossi deformations of the standard CR three-…