In 2011, Benjamini, Kozma and Schapira introduced a “balanced excited random walk†in the 4-dimensional lattice. In 2016, a similar model was studied by Peres, Schapira and Sousi in the 3-dimensio...
The Miller-Abrahams random resistor network is used to study electron transport in amorphous solids. This resistor network is given by the complete random graph built on a marked homogeneous Poisson p...
I will present some results concerning the existence of nodal solutions to the Yamabe equation on the sphere and their connections with the existence of positive solutions to competitive elliptic syst...
Abstract: The oceans provide essential services to our society, by regulating the climate, providing food and energy, ruling many of our economic activities. However, the marine ecosystem is more than...
In this joint work with Marc Briane I will revisit one of the most elementary homogenization problems ever and demonstrate that abandonment of just one assumption, very strong ellipticity, drastically...
Magnetoencephalography (MEG) aims at reconstructing the unknown neuroelectric activity in the brain from non-invasive measurements of the magnetic field produced by neural sources in the outer space. ...
In this talk we discuss some recent results about a class of fully nonlinear second order partial differential problems in nondivergence form, uniformly elliptic with quadratic growth in the gradient....
Le ricostruzioni di alto ordine delle famiglie WENO, CWENO (e varianti) sono solitamente progettate per usare un polinomio di ricostruzione centrale di grado 2r in zone dove la soluzione è regolare, p...
We provide a representation formula for viscosity solutions to a nonlinear second order parabolic PDE problem with sublinear operators. This is done through a dynamic programming principle which is a ...
