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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...

Equazioni di Hamilton-Jacobi su networks

Si discuteranno alcuni recenti risultati riguardanti le equazioni di Hamilton-Jacobi definite su un network. Per equazioni ellittiche su networks si evidenzierà il ruolo chiave delle condizioni di tra...

Spectral asymptotics for discrete metastable diffusions via Witten complex techniques

I will consider a metastable diffusion moving in a multiwell potential on the rescaled n-dimensional integer lattice. From a purely spectral point of view metastability effects correspond to the prese...

Decadimento dell'entropia per sistemi markoviani interagenti

Verrà illustrata una tecnica per ottenere disuguaglianze funzionali che implicano il decadimento dell'entropia per alcune catene di Markov a tempo continuo. La tecnica è ispirata alle idee di Bakry ed...

Restart di algoritmi meta-euristici per problemi di ottimizzazione combinatoria

La soluzione di problemi di ottimizzazione combinatoria di grande dimensione, come ad esempio il problema del commesso viaggiatore con migliaia di città, richiede spesso l'uso di algoritmi meta-eurist...

Large deviations in sparse random graphs: a local weak convergence approach

Consider the Erdös-Renyi random graph on n vertices where each edge is present independently with probability p=c/n, with c>0 fixed. For large n, a typical realization locally behaves like the Gal...

Fluctuations of random walks on quasi 1D lattices and applications to biophysical systems

A broad class of kinetic models for molecular motors is given by random walks on quasi 1D lattices with random holding times, not necessarly exponential. We derive information on the asymptotic veloci...

Binary statistical experiments with persistent regression

We deal with a mathematical model of binary statistical experiments, based on statistical data, for the validation of the elementary hypothesis about the presence or absence of a predefined attribute ...

Stochastic quantization, paraproducts and all that

The stochastic quantization equation is a simple model for the kind of problems linked to locality and non-triviality of quantum field theories. In this talk we review recent advances in undestanding ...

On the stability of breathers

The purpose of this talk is to discuss several stability properties of a class of very particular structures associated to well-known integrable models, usually referred as "breathers". I will explain...

On the Ginzburg-Landau Functional in the Surface Superconductivity Regime

We shall discuss the behavior of type II superconductors in the framework of Ginzburg-Landau theory for an applied magnetic field varying between the second and third critical fields. In this regime s...