Geodesic
The Boltzmann legacy revisited:kinetic models of social interactions
Matematica, cultura e società, Série 1, Tome 5 (2020) no. 2, pp. 93-109.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The application of classical methods of statistical mechanics, originally developed by Ludwig Boltzmann in gas dynamics, to the description of social phenomena is a success story that we try to outline in this paper. On one hand, it is nowadays a flourishing research line, which is more and more permeating different contexts such as the Econophysics, Sociophysics, Biomathematics, Transportation Engineering to name just a few of them. On the other hand, it is a fascinating mathematical challenge, because it requires the interplay of various complementary expertises: modelling, model analysis, numerics. In this paper, we try to give a taste of all of this using the social phenomenon of opinion formation as a motivating example.
L'applicazione dei metodi classici della meccanica statistica, sviluppati originariamente da Ludwig Boltzmann per la gasdinamica, alla descrizione di fenomeni sociali è una storia di successo che in questo articolo cerchiamo di tratteggiare. Da un lato essa costituisce attualmente una fiorente linea di ricerca, che sta sempre più permeando contesti diversi tra loro quali l'econofisica, la sociofisica, la biomatematica, l'ingegneria dei trasporti per non citare che alcuni esempi. Dall'altro è anche una sfida matematica affascinante, perché richiede l'interazione di svariate competenze complementari: la modellistica, l'analisi dei modelli, la numerica. In questo articolo cerchiamo di dare un assaggio di tutto ciò usando come esempio motivante la formazione delle opinioni. 
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Fraia, Martina; Tosin, Andrea. The Boltzmann legacy revisited:kinetic models of social interactions. Matematica, cultura e società, Série 1, Tome 5 (2020) no. 2, pp. 93-109. http://geodesic.mathdoc.fr/item/RUMI_2020_1_5_2_a1/

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