Obtaining a rigorous understanding of the formation of complex patterns in nature is a long-standing problem, which has motivated the introduction of several probabilistic models in the Mathematics an...
We consider the Helmholtz and the time-harmonic Maxwell transmission problems with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prov...
A free energy functional arising from kinetic mean field models of interacting particles is considered. We study the variational limit, in the regime of long time and strong interaction. While the den...
We define, via Dirichlet forms' theory, a geometric diffusion process on the L^2-Wasserstein space over a closed Riemannian manifold. The process is associated with the Dirichlet form induced by the L...
Abstract: Signals are used in our everyday life to send and receive information or to extract information from an unknown environment. Typically, signals are defined over a metric space, i.e. time and...
Nella sua formulazione piu' semplice, il problema di "route planning" per imbarcazioni a vela consiste nel minimizzare il tempo medio di arrivo a un dato target in un campo di vento con una componente...
The first part of the presentation is a short review of a statistical mechanics model of point vortices for the 2D Euler equations and their mean field limit. In the second part we outline a proof of ...
Abstract: I will discuss the scattering problem for a quantum particle in dimension three in the presence of a semitransparent unbounded obstacle, modeled by a surface. The generator of the dynamics i...
Representing arbitrary surfaces with a finite number of polynomial patches requires the introduction of polar points for high-valence neighborhoods in quadrilateral meshes. Such holes can be filled by...
Abstract: Stochastic individual base models, that is, measure valued Markov processes describing the evolution of interacting biological populations, have proven over the last years to be effective mo...
