Top-level heading

Construction, computation, and properties of solutions of the acoustic and elastic wave equations with coefficients of limited smoothness

In this talk, we discuss a program concerning the construction, computation, and properties of solutions of evolution and wave equations using techniques from harmonic analysis, in particular, localiz...

Mean Field games and queuing theory: dynamic of order books as a liquidity offer/demand equilibrium

Mean Field Game approach provides a framework for queuing model with strategic anticipations. This will be the key new feature to model the game equilibrium between stochastic flows of impatient and p...

Uno schema Semi-Lagrangiano completamente discreto per un problema di Giochi a Campo Medio

Presento uno schema Semi-Lagrangiano per un sistema di equazioni alle derivate parziali che modellizza un problema di Giochi a Campo Medio. L'approssimazione numerica del sistema introduce notevoli di...

Optimal control in economics: the resource curse model case

The term "resource curse phenomenon" refers to countries with an abundance of natural resources, in particular nonrenewable ones such as minerals or fuels, that tend to have less economic growth and w...

An easy-to-use numerical approach for simulating traffic flow on networks

We study a simple model for traffic flow on networks based on the LWR model. We consider a system of conservation laws with space-dependent and discontinuous flux, each of which describes the evolutio...

Agent-based models for opinion dynamics

In this talk I will overview the classical models for opinion formation dynamics and related problems (e.g. consensus problem and clustering phenomena) and I will introduce a model in which the agent ...

Polytope joint Lyapunov functions for stable and for stabilizable positive switched systems

We consider "positive" switched linear system of odes and propose a new method for the approximation of the upper Lyapunov exponent and lower Lyapunov exponent. The method is based on the iterative co...

Relaxation and Necessary Conditions for Optimal Control Problems

Relaxation is a procedure in optimal control problem in which extra elements are added to the domain of an optimization problem in order to guarantee the existence of a minimizer. Of course the relaxe...

Zubov's method and Differential Games

Zubov's method is a technique to characterize the domain of attraction of locally asymptotically stable equilibria of an ordinary differential equation (ODE) as the sublevel set of an appropriate Hami...

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...

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...

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...