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Pursuit-Evasion Games with Multi-Pursuer: a decomposition approach

In a pursuit-evasion game, each pursuer attempts to minimize the distance between the pursuer (P) and the evader (E) and capture it in the shortest time, whereas the evader tries to maximize the dista...

Regularity of minimal sets in Euclidean space

In the last century, there are major advances on the existence and structure of minimal sets. In 1968, F. Almgren has showed that if a minimal cone over a smooth hypersurface in {\mathbb R}^4 is stabl...

Birds, spins and entropy: a theoretical physics approach to collective animal behaviour

Abstract: Flocking is a paradigmatic example of self-organized collective behaviour, where collective ordering emerges from the mutual interactions between  individuals. In this respect, it share...

A semi-Lagrangian scheme for the game p-Laplacian

We present and analyze a numerical approximation of the two-dimensional Dirichlet problem for the game p-Laplacian based on a semi-Lagrangian scheme. We start from recalling the definition of game p-L...

Homogenization and correctors for the wave equation

We study the asymptotic behavior of a wave problem with periodic coefficients in the space variable and almost periodic coefficients in the time one. Contrary to the classical result for elliptic or p...

Dinamica metastabile di interfacce per leggi di conservazione viscose e sistemi di rilassamento

In questo seminario tratteremo il problema della dinamica metastabile per leggi di conservazione viscose in un intervallo limitato della retta reale. In generale, per questo tipo di equazioni, si osse...

Disuguaglianze con integrabilità angolare ed applicazioni

Estendiamo alcune disuguaglianze classiche (ad esempio le diseguaglianze di Hardy-Littlewood e Caffarelli-Kohn-Nirenberg) al caso in cui le variabili angolari e radiali hanno differente integrabilità....