The \(K\)-property of ``orthogonal'' cylindric billiards
type: Item
instance of: scholarly article
title: The \(K\)-property of ``orthogonal'' cylindric billiards
zbMATH Open document ID: 0818.58030
DOI: 10.1007/BF02173431
author: D. Szász
published in: Communications in Mathematical Physics
publication date: 1995-08-08T00:00:00Z
review text: The author considers a class of `cylindric billiards' (billiards on a \(d\)-dimensional torus with cylindrical scatterers), where the scatterers have certain orthogonality properties. He uses analysis of submanifolds and dynamical methods to prove that the system has the \(K\)-property if and only if a natural non-degeneracy condition is satisfied.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 553845
zbMATH Keywords: cylindric billiards
zbMATH Keywords: \(K\)-property
MaRDI profile type: Publication
cites work: Ergodic systems of \(n\) balls in a billiard table
cites work: Ergodic properties of semi-dispersing billiards. I. Two cylindric scatterers in the 3D torus
cites work: A ``transversal'' fundamental theorem for semi-dispersing billiards
cites work: The K-property of three billiard balls
cites work: The \(K\)-property of four billiard balls
cites work: Q5665930
cites work: The \(K\)-property of \(N\) billiard balls. I
cites work: Ergodicity of classical billiard balls
full work available at URL: https://doi.org/10.1007/bf02173431
OpenAlex ID: W2062951712
description: scientific article; zbMATH DE number 553845