A rational Cherednik algebra is a flat deformation of a skew product of the Weyl algebra and a Coxeter group W. I am going to discuss two interesting subalgebras of Cherednik algebras going back to th...
Abstract: In tempi recenti, metodi variazionali e probabilistici (rappresentazione flusso/gradiente, grandi deviazioni) hanno arricchito temi e tecniche dello studio dei modelli cinetic...
Abstract: We consider Markovian dynamics on a typical realization of the so-called Directed Configuration Model (DCM), which is a random directed graph with prescribed in- and out-degrees. In this ran...
Denoting with H^n the n-dimensional hyperbolic space, we show that constant mean curvature hypersurfaces in H∧n×R with small boundary contained in a horizontal slice P are topological disks, provided ...
Spesso molti esempi di varietà simplettiche con azioni Hamiltoniane di gruppi vengono dalla geometria algebrica; questo è il caso, per esempio, per le varietà simplettiche toriche, nelle quali la dime...
Associative submanifolds are certain calibrated submanifolds in G2-manifolds. There is the hope that counting them will reveal subtle information about the underlying G2-structure. On the other hand, ...
The idea to represent stochastic processes by orthogonal polynomials has been employed in uncertainty quantification and inverse problems. This approach is known as stochastic Galerkin formulation wit...
Monotonicity conditions are crucial in Mean Field Game (MFG) theory, highlighted by the uniqueness results of Larry and Lions. This talk introduces a functional analytic framework to understand MFGs t...
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...