Tosin, Andrea:
Un approccio multiscala alla dinamica delle folle mediante misure che evolvono nel tempo
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.3, p. 531-548, (Italian)
pdf (951 Kb), djvu (219 Kb). | MR 3202838
Sunto
Questo articolo riguarda la modellizzazione matematica di sistemi complessi viventi, in particolare le folle, mediante leggi di conservazione e metodi della teoria della misura. Introdurremo un quadro modellistico che permette di trattare sistemi dinamici discreti e continui mediante idee fenomenologiche e strumenti matematici comuni, nonché di accoppiare le due descrizioni in un'ottica multiscala. Inoltre presenteremo una teoria qualitativa di buona positura e approssimazione numerica dei problemi ai valori iniziali e discuteremo le sue implicazioni sulla modellistica.
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