Geodesic
I matematici giocano ... a biliardo!
Matematica, cultura e società, Série 1, Tome 4 (2019) no. 2, pp. 131-144.

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

Quest'articolo si propone di offrire una panoramica sullo studio dei biliardi matematici. Ci concentreremo su una particolare classe, i cosiddetti Biliardi di Birkhoff, in cui il tavolo è costituito da una regione del piano limitata, strettamente convessa e con bordo regolare. Le proprietà dinamiche di questi modelli matematici sono strettamente legate alla forma del tavolo che si considera: comprendere fino a che punto la conoscenza di certi aspetti dinamici permetta di ricostruire la forma del biliardo, è alla base di importanti congetture al centro di intense attività di ricerca. In quest'articolo discuteremo alcune di queste problematiche e descriveremo recenti contributi verso la loro soluzione.
This article aims to offer a panorama of the study of mathematical billiards. We shall focus on a particular class, the so-called Birkhoff billiards, in which the table consists of a planar, bounded, strictly convex region with smooth boundary. The dynamical properties of these mathematical models are tightly intertwined with the shapeof the billiard table that one considers: understanding to which extent dynamical information allows one to reconstruct the shape of the billiard, is at the ground of interesting conjectures, at the center of intense research activities. 
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Sorrentino, Alfonso. I matematici giocano ... a biliardo!. Matematica, cultura e società, Série 1, Tome 4 (2019) no. 2, pp. 131-144. http://geodesic.mathdoc.fr/item/RUMI_2019_1_4_2_a8/

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