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.File | Dimensione | Formato | |
---|---|---|---|
R-umi_Agosto_2019 Articolo Sorrentino.pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
Copyright dell'editore
Dimensione
1.54 MB
Formato
Adobe PDF
|
1.54 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.