Polygonal billiards with small obstacles
type: Item
instance of: scholarly article
title: Polygonal billiards with small obstacles
zbMATH Open document ID: 0995.37019
DOI: 10.1023/A:1023228423836
author: Philipp Hiemer
author: Vadim Snurnikov
published in: Journal of Statistical Physics
publication date: 2002-10-23T00:00:00Z
review text: The authors show that in a wide class of polygons it is possible to block all paths between two points by placing a finite number of obstacles into the polygon. They show that the obtained results can be generalized from point obstacles to a small \(\varepsilon\)-neighborhood of points. Moreover, they give several conjectures.
Mathematics Subject Classification ID: 37D40
zbMATH DE Number: 1279304
zbMATH Keywords: rational polygon
zbMATH Keywords: polygonal billiards
zbMATH Keywords: multi-dimensional obstacle
zbMATH Keywords: point obstacles
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1279304