We consider two-dimensional unbounded magnetic Dirac operators, either defined on the whole plane, or with infinite mass boundary conditions on a half-plane. Our main results use techniques from ellip...
Harris theorems are powerful tools for studying the asymptotic behavior of Markovian models. Originating from the probabilistic literature, they were recently adapted to the PDE framework by Hairer-Ma...
The standard Hadamard's well-posedness theory has been established for linear systems, or for smooth solutions of nonlinear systems. For weak solutions of nonlinear systems, the usual calculus and fun...
We discuss a class of regularized zero-range Hamiltonians for three different problems satisfying a bosonic symmetry in dimension three. Following the standard approach in defining such Hamiltonians i...
Abstract:Attraverso alcuni esempi proverò a motivare l’interesse nelle algebre di Lie differenziali graduate e il loro ruolo nella teoria della deformazione....
Abstract: Una varietà complessa compatta X è iperbolica nel senso di Kobayashi se e solo se ogni applicazione olomorfa intera dal piano complesso verso X è costante.Trattasi di una proprietà squi...
Abstract: In tempi recenti, metodi variazionali e probabilistici (rappresentazione flusso/gradiente, grandi deviazioni) hanno arricchito temi e tecniche dello studio dei modelli cinetic...
After introducing the main notions of evolution for rate-independent systems and the general abstract approach to prove their existence, I will discuss, in this framework, models coupling linearized e...
Abstract I will present recent results concerning fully nonlinear integral operators with nonhomogenous diffusion, the general idea being that new phenomena may occur when the uniform e...
