ASSOUAD DIMENSION OF SELF-AFFINE CARPETS

被引：54

作者：

Mackay, John M. ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

CONFORMAL GEOMETRY AND DYNAMICS | 2011年 / 15卷

基金：

英国工程与自然科学研究理事会;

关键词：

Assouad dimension; conformal Assouad dimension; Bedford-McMullen carpets;

D O I：

10.1090/S1088-4173-2011-00232-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.

引用

页码：177 / 187

页数：11

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