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Soluzioni generalizzate ed ultrafunzioni

La teoria delle distribuzioni ci fornisce la nozione di soluzione generalizzata per problemi che non hanno soluzioni classiche. Comunque ci sono problemi che non hanno soluzione neppure nello spazio d...

Direct Surface Reconstruction using Perspective Shape from Shading via Photometric Stereo

Shape-from-Shading and Photometric Stereo are two fundamental problems in Computer Vision aimed at reconstructing surface depth given either a single image taken under a known light source or multiple...

Il flusso 1-armonico di un campo di versori

Per flusso 1-armonico di un campo di versori si intende, in modo puramente formale, il flusso gradiente (in L^2) della variazione totale di un campo vettoriale vincolato ad assumere valori sulla sfera...

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...