In this talk we present Hölder regularity estimates for an Hamilton-Jacobi with fractional time derivative of order α ∈(0,1) cast by a Caputo derivative. The Hölder seminorms are independent of time, ...
We consider the Kardar-Parisi-Zhang equation (KPZ) and the multiplicative Stochastic Heat Equation (SHE) in two space dimensions, driven by with space-time white noise. These singular PDEs are "critic...
In this talk I will discuss how to find and compute the eigenvalues of Dirac operators in their spectral gaps. In order to do so in an optimal way, the delicate study of the domains of critical Dirac ...
In questo seminario presenterò alcuni risultati relativi a una classe di problemi ellittici semilineari. In particolare mi concentrerò sull'analisi asintotica di soluzioni (quando un parametro tende a...
The classical Dynamic Programming (DP) approach to optimal control problems is based on the characterization of the value function as the unique viscosity solution of a Hamilton-Jacobi-Bellman (HJB) e...
We address the question of statistical model selection for a class of stochastic models of biological neural nets.Models in this class are systems of interacting chains with memory of variable length....
Abstract: We discuss Langevin dynamics of N particles on R^d interacting through a singular repulsive potential, such as the Lennard-Jones potential, and show that the system converges to the unique i...
In this talk I will present a data-driven iteratively regularized Landweber iteration for solving linear and nonlinear ill-posed inverse problems. The method takes into account training data, which ar...
The theme of this talk is walks in a random environment of "signposts" altered by the walker. I'll focus on three related examples: 1. Rotor walk on Z^2. Your initial signposts are independent with th...
We study the numerical approximation of parabolic, possibly degenerate, Hamilton-Jacobi-Bellman (HJB) equations in bounded domains. It is well known that convergence of the numerical approximation to ...
