Top-level heading

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...

Analisi multi-scala di dislocazioni in etero-strutture sottili

Le dislocazioni sono uno dei difetti piu' comuni dei solidi cristallini e la loro presenza influenza il comportamento dei materiali in svariati modi. Per esempio, nell'elettronica dei semiconduttori l...

Uno Schema semi-lagrangiano per l'infinito laplaciano con applicazioni all'inpainting d'immagini

Nel seminario presentiamo un nuovo schema semi-lagrangiano per l'operatore infinito laplaciano. Nella prima parte richiameremo alcuni teoremi noti in letteratura: esistenza, unicità e principio del co...

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...

Trattamento semi-lagrangiano degli operatori di secondo ordine in forma di divergenza

Tecniche abbastanza classiche (interpretabili in un quadro di calcolo stocastico) permettono di trattare termini diffusivi in forma di traccia negli schemi SL. Verrà discussa una estensione di queste ...

Invariant Lagrangian graphs, Hamilton-Jacobi equation and action-minizing properties of Tonelli Hamiltonians

In the study of Hamiltonian systems a special role is played by invariant Lagrangian submanifolds. These objects arise quite naturally in many physical and geometric problems and besides sharing a dee...

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...

Variational motion of discrete interfaces

We study the motion of discrete interfaces driven by ferromagnetic interactions in a two-dimensional periodic environment, by coupling the minimizing movements approach by Almgren, Taylor and Wang and...

Statics and dynamics of dislocations: A variational approach

Dislocations are line defects in crystals and they are considered the main mechanism of plastic deformations in metals. We will consider straight dislocations, so that their positions are completely i...

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 ...