UNIQUE EXPANSION OF POINTS OF A CLASS OF SELF-SIMILAR SETS WITH OVERLAPS

被引：10

作者：

Zou, Yuru ^{[2
]}

Lu, Jian ^{[2
]}

Li, Wenxia ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China

来源：

MATHEMATIKA | 2012年 / 58卷 / 02期

基金：

中国国家自然科学基金;

关键词：

SEPARATION PROPERTIES; HAUSDORFF DIMENSION; DELETED DIGITS; REAL NUMBERS; Q-NI; FRACTALS;

D O I：

10.1112/S0025579312000083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For q > 1, the set F-q of real numbers which can be expanded in base q with respect to the digit set {0, 1, q} is just a self-similar set with overlaps. We consider the subset of F-q whose elements have a unique expansion and calculate its Hausdorff dimension for the case where q >= (3 + root 5)/2.

引用

页码：371 / 388

页数：18

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