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Lozenge tiling dynamics and hydrodynamic equation

Abstract: We study a reversible continuous-time Markov dynamics on lozenge tilings of the torus, introduced by Luby et al. Single updates consist in concatenations of nn elementary lozenge rotations a...

Time and Entropy

Abstract: This talk concerns mathematical theory of the so-called Fluctuation Relation (FR) and Fluctuation Theorem (FT) in context of dynamical systems relevant to physics. The FR refers to a certain...

Runge-Kutta Discontinous Galerkin methods for shallow-water equations on a canals network

We shall consider the one-dimensional Saint-Venant equations for the numerical simulation of shallow water flows on a canals network. We assume that no source term is present and we deal with the deli...

Active-set Algorithmic Frameworks for Sparse Optimization

In the context of sparse optimization problems, being able to quickly identify the active set (i.e. the subset of zero components in an optimal solution) is becoming a crucial task as it can considera...

Metodi FEM-BEM di tipo spazio-tempo per la risoluzione di problemi di propagazione di onde in domini illimitati

In questo seminario presenterò problemi di propagazione di onde in domini illimitati bi e tridimensionali. Per la risoluzione di tali problemi mediante metodi FEM, considererò una condizione non rifle...

Limit Theorems and Random Fractal Curves in Statistical Mechanics

Rigorous statistical mechanics deals with stochastic systems that have a large number of components and for which geometry often plays an important role. The main goal is to understand their average b...

On time correlations for last passage percolation models

We study time correlations of last passage percolation (LPP), a model in the Kardar-Parisi-Zhang universality class, with three different geometries: step, flat and stationary. We prove the convergenc...