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 shape of 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. In this article we shall discuss some of these problems and describe recent contributions towards their solution.

Sorrentino, A. (2019). I matematici giocano... a biliardo. MATEMATICA, CULTURA E SOCIETÀ, 4(2), 131-144.

I matematici giocano... a biliardo

Sorrentino, Alfonso
2019-08-01

Abstract

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 shape of 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. In this article we shall discuss some of these problems and describe recent contributions towards their solution.
ago-2019
Pubblicato
Rilevanza nazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
Italian
Sorrentino, A. (2019). I matematici giocano... a biliardo. MATEMATICA, CULTURA E SOCIETÀ, 4(2), 131-144.
Sorrentino, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/264807
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