Top-level heading

Large deviations and metastability in a size-dependent zero-range process.

We discuss a general approach to understand phase separation and metastability in stochastic particle systems that exhibit a condensation transition. Condensation occurs when, above some critical dens...

Ordinary Differential Equations and Singular Integrals

Given a Lipschitz vector field, the classical Cauchy-Lipschitz theory gives existence, uniqueness and regularity of the associated ODE flow. In recent years, much attention has been devoted to extensi...

Shocks and failure in fragile matter

Abstrcat: A minimal model for studying the mechanical properties of amorphous solids is a disordered network of point masses connected by springs. At a critical value of its mean connectivity, such a ...

A Discontinuous Galerkin Method for the Simulation of Multiphase Flows

The mixture of gas and solid particles in non-equilibrium conditions that compose a multiphase flows is described with a set of coupled partial differential equations for the mass, momentum and energy...

Uncalibrated Photometric Stereo

Shape-from-shading is a well-known, although ill-posed, 3D-reconstruction technique. Photometric stereo is an extension of shape-from-shading, where several light sources are used to illuminate the sc...

A local CLT for some convolution equations with applications to self-avoiding walks

We discuss a fixed point method to obtain a local central limit theorem for distributions defined by certain renewal type equations. The main motivation for investigating these equations stems from ap...

Grain crushing in polydisperse granular media:from experimental evidence to modeling

Abstract: The mechanical behaviour of granular materials depends on their grading. Crushing of particles under compression or shear modifies the grain size distribution, with a tendency for the percen...

Computation of Fundamental Solutions for Two-Point Boundary Value Problems in Conservative Systems and the N-Body Problem

Two-point boundary value problems (TPBVPs) for conservative systems are studied in the context of the stationary action principle. For sufficiently short time horizons, this converts dynamical systems...

Policy iteration for stochastic games

Zero-sum stochastic games with finite state and action spaces, perfect information, and mean payoff criteria arise in particular from the monotone discretization of mean-payoff pursuit-evasion determi...

Generalized principal eigenvalues for elliptic operators in non-compact scenarios

What is the analogue of the principal eigenvalue for elliptic operators with non-compact resolvents? Focusing on the case where the lack of compactness is due to the unboundedness of the domain, we sh...

Introduzione all'approssimazione numerica di problemi di controllo ottimo attraverso Model Predictive Control

Nel seminario verranno presentate le idee principali del Model Predictive Control (MPC), un metodo di approssimazione per problemi di controllo ottimo non lineare che cerca di ricostruire un controllo...