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Non-Trapping sets and Huygens Principle

Dario BenedettoEmanuele CagliotiRoberto Libero — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We consider the evolution of a set Λ 2 according to the Huygens principle: the domain at time , Λ, is the set of the points whose distance from is lower than . We give some general results for this evolution, with particular care given to the behavior of the perimeter of the evoluted set as a function of time. We define a class of sets (non-trapping sets) for which the perimeter is a continuous function of , and we give an algorithm to approximate the evolution. Finally we restrict our attention...

A kinetic equation for granular media

Dario BenedettoEmanuele CagliotiMario Pulvirenti — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

In this short note we correct a conceptual error in the heuristic derivation of a kinetic equation used for the description of a one-dimensional granular medium in the so called quasi-elastic limit, presented by the same authors in reference[1]. The equation we derived is however correct so that, the rigorous analysis on this equation, which constituted the main purpose of that paper, remains unchanged.

L'attribuzione dei testi gramsciani: metodi e modelli matematici

Chiara BasileDario BenedettoEmanuele CagliotiMirko Degli Esposti — 2010

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana

In questo lavoro illustriamo un metodo matematico per affrontare iproblemi di attribuzione di autore, sviluppato in vista della nuova "Edizione Nazionale degli scritti di Antonio Gramsci". Il metodo è basato su alcune importanti idee della matematica moderna, che offrono interessanti prospettive nell'analisi dei testi.

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