Geodesic
The Boltzmann legacy revisited:kinetic models of social interactions
Matematica, cultura e società, Série 1, Tome 5 (2020) no. 2, pp. 93-109
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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. 
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     author = {Fraia, Martina and Tosin, Andrea},
     title = {The {Boltzmann} legacy revisited:kinetic models of social interactions},
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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/