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....
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...
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...
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: Wetting phenomena at "small" scales (a water drop on a glass, the precorneal tear-film) may be described by quite a few different mathematical models: diffuse interface ones, sharp ones such...
Plate kinematics represents the first evidence of plate tectonic processes and the basics of plate dynamic models. The kinematics of plates is defined by Euler pole and angular velocity, and the main ...
Abstract: Precise measurements of ground deformation have become increasingly common as large networks of GPS receivers and borehole strainmeters have been established over the last decade. Complement...
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...
