Markov chains and dynamic geometry of polygons
type: Item
instance of: scholarly article
title: Markov chains and dynamic geometry of polygons
zbMATH Open document ID: 1024.51026
DOI: 10.1016/S0024-3795(02)00634-1
author: J. Ding
author: L. Richard Hitt
author: Xin-Min Zhang
published in: Linear Algebra and its Applications
publication date: 2003-05-27T00:00:00Z
review text: In the paper under review, an \(n\)-sided plane polygon is called cyclic if it can be inscribed in a circle. The authors study the connection between the geometry and linear algebra of cyclic polygons. They construct sequences of cyclic polygons which converge to a unique polygon. Two special cases are considered in details. The first case is a limiting polygon of these sequences to be regular, and the second one is a sequence of triangles. The main tools used in the proofs are non-negative matrices and Markov chains.
reviewed by: Georgi Hristov Georgiev
Mathematics Subject Classification ID: 51M15
zbMATH DE Number: 1917817
zbMATH Keywords: Markov chain
zbMATH Keywords: sequence of polygons
zbMATH Keywords: cyclic polygons
Wikidata QID: Q56269954
MaRDI profile type: Publication
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full work available at URL: s0024-3795(02)00634-1
OpenAlex ID: W1974479578
description: scientific article; zbMATH DE number 1917817