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...
Abstract: The immune system defends us from pathogens. But what is an antigen? Does each lymphocyte really know the complete ensemble of all the molecules of our body? Is there, instead, a syste...
Abstract: The classical (that is, geometric) model of capillarity accounts for many of the equilibrium shapes we commonly observe in liquid drops. In fact, even more complicated phenomena such as supe...
Abstract: As we learnt from Young and Laplace, the cohesion of fluids makes them choose specific shapes, in particular spheres at a small scale. We discuss several ways to maintain this ideal shape on...
Abstract: Consider a fully-connected social network of people, companies, or countries, modeled as an undirected complete graph with real numbers on its edges. Positive edges link friends; negative ed...
Abstract: Language dynamics is an emerging field that focuses on all processes related to the emergence, evolution and extinction of languages. Recently the study of the self-organization and evolutio...
Le cellule (batteri, amebe, staminali o altro) si muovono, si aggregano e si organizzano guidate da vari tipi di stimoli (chimici, luminosi, meccanici). Tutta la vita che conosciamo è basata sull'auto...
We will present a relatively new approach to differential inclusion theory that is "parametrization-free". That is, results in control theory will be described under assumptions on the Hamiltonian (an...
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...
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...
The Savage-Hutter and the Hadeler-Kuttler equations can be used to describe the movement of granular matter. The former, in its standard formulation, neglects erosion/deposition phenomena. The latter ...
La nozione di sistema di controllo ibrido è stata proposta in tempi relativamente recenti per dare un quadro unificato a molti sistemi di controllo di forte interesse applicativo, caratterizzati dal f...
