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Equazioni lineari matriciali: proprietà, aspetti numerici e applicazioni

Le equazioni matriciali lineari, quali le equazioni di Silvester e di Lyapunov e le loro generalizzazioni, hanno un ruolo fondamentale nell'analisi di sistemi dinamici, nella teoria del controllo, nei...

Metastable regimes of diffusion processes

I will discuss some old and new results concerning a classical example featuring a metastable behavior: finite-dimensional diffusion processes in the vanishing noise limit. Sharp estimates have been i...

Algoritmo

con la collaborazione di Elena Savinelli e Luca Sbano...

Convergence of Mayer and virial expansions and the Penrose tree-graph identity

Abstract: We establish new lower bounds for the convergence radius of the Mayer series and the Virial series of a continuous particle system interacting via a stable and tempered pair potential. Our b...

Bayesian nonparametric inference with heterogeneous data

The talk provides an overview of some recent work on random probability measure vectors and their role in Bayesian statistics. Indeed, dependent nonparametric priors are useful tools for drawing infer...

Conditional iid structures in exchangeable multivariate distributions: from Marshall-Olkin to 'load sharing' $

The discovery of a conditional iid structure allows the understanding of the dependence contained in a d-v$...

Recent advances for the near field photometric stereo problem

Shape from Shading and Photometric Stereo are two fundamental problems in Computer Vision aimed at reconstructing surface depth given either a single image taken under a known light source or multiple...

Analytical and numerical approaches to study free energy minima of associative recurrent neural networks

Since the seminal works by Hebb and Pavlov (in neurophysiology) and by McCulloch, Pitts and Rosenblatt (in the electronic counterpart), the principles behind brain's information processing have inspir...

Random walk on sparse random directed graphs

random walk on a finite graph exhibits cutoff if its distance from stationarity remains close to the initial value for a certain number of iterations and then abruptly drops to near zero on a much sho...

Controlled Vlasov-type dynamics

The aim of the talk is to connect the optimal control of Vlasov-type PDEs with large systems of controlled interacting particles/agents. The main difference towards the classical mean-field theory, wh...