The \(K\)-property of \(N\)-billiard balls. II: Computation of neutral linear spaces
type: Item
instance of: scholarly article
title: The \(K\)-property of \(N\)-billiard balls. II: Computation of neutral linear spaces
zbMATH Open document ID: 0767.58030
DOI: 10.1007/BF01231329
published in: Inventiones Mathematicae
publication date: 1993-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/144047
review text: The present second part [part I: ibid. 108, No. 3, 521-548 (1992; Zbl 0759.58029)] finishes the proof of the Kolmogorov mixing property for hard ball systems in tori, provided that the number of balls does not exceed the dimension of the torus. The missing computation of the linear spaces of non-expanding and non-contracting tangent vectors at phase points with combinatorially rich symbolic collision sequences is presented hereby.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D99
zbMATH DE Number: 167391
zbMATH Keywords: Kolmogorov-mixing-flow
zbMATH Keywords: discontinuous hyperbolic dynamical system
zbMATH Keywords: hard ball system
zbMATH Keywords: local stable invariant mnt manifold
author: Nándor Simányi
MaRDI profile type: Publication
cites work: The K-property of three billiard balls
cites work: The \(K\)-property of four billiard balls
cites work: The \(K\)-property of \(N\) billiard balls. I
OpenAlex ID: W61848099
description: scientific article; zbMATH DE number 167391