Hausdorff dimension of the multiplicative golden mean shift

被引：8

作者：

Kenyon, Richard ^{[1
]}

Peres, Yuval ^{[2
]}

Solomyak, Boris ^{[3
]}

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

[2] Microsoft Res, Redmond, WA 98052 USA

[3] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 11-12期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.crma.2011.05.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the Hausdorff dimension of the "multiplicative golden mean shift" defined as the set of all reals in [0,1] whose binary expansion (x(k)) satisfies x(k)x(2k) = 0 for all k >= 1, and show that it is smaller than the Minkowski dimension. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：625 / 628

页数：4

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