60 citations · 168 across the 13 of their papers we have counts for
14 papers
Global weak solutions for the inverse mean curvature flow in the Heisenberg group
Adriano Pisante, Eugenio Vecchi
We consider the inverse mean curvature flow (IMCF) in the Heisenberg group $(\He^n, d_\varepsilon)$, where is distance associated to either ,…
Torus-like solutions for the Landau-de Gennes model. Part I: the Lyuksyutov regime
Federico Dipasquale, Vincent Millot, Adriano Pisante
We study global minimizers of a continuum Landau-De Gennes energy functional for nematic liquid crystals, in three-dimensional domains. Assuming smooth and uniaxial (e.g. homeotrop…
On large deviations of interface motions for statistical mechanics models
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
We discuss the sharp interface limit of the action functional associated to either the Glauber dynamics for Ising systems with Kac potentials or the Glauber+Kawasaki process. The c…
The Localization Dichotomy for gapped periodic quantum systems
D. Monaco, G. Panati, A. Pisante +1
We investigate the localization properties of gapped periodic quantum systems, modeled by a periodic or covariant family of projectors, as e.g. the orthogonal projectors on the occ…
Optimal decay of Wannier functions in Chern and Quantum Hall insulators
D. Monaco, G. Panati, A. Pisante +1
We investigate the localization properties of independent electrons in a periodic background, possibly including a periodic magnetic field, as e.g. in Chern insulators and in Quant…
Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound
Lorenzo Bertini, Paolo Buttà, Adriano Pisante
Consider the Allen-Cahn equation on the -dimensional torus, , in the sharp interface limit. As it is well known, the limiting dynamics is described by the motion by mean…