Markov chains and dynamic geometry of polygons

被引：8

作者：

Ding, J

Hitt, LR

Zhang, XM ^{[1
]}

机构：

[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36688 USA

[2] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 367卷

关键词：

Markov chain; sequence of polygons; midpoint-stretching; lambda-stretching; doubly stochastic matrix; sequence of pedal triangles;

D O I：

10.1016/S0024-3795(02)00634-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct sequences of polygons from a given n-sided cyclic polygon by iterated procedures and study the limiting behaviors of these sequences in terms of non-negative matrices and Markov chains. (C) 2003 Elsevier Science Inc. All rights reserved.

引用

页码：255 / 270

页数：16

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