Top-level heading

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...

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 ...

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 ...

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...

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...

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...

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...

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...

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...

Chirality: variations on the theme of spontaneous symmetry breaking

Abstract: According to Hund (1927) quantum mechanics forbids the existence of stable optically active (chiral) molecules as they violate the invariance under parity of the Hamiltonian. This paradox ha...
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