ON THE MORPHOLOGY OF GAMMA-EXPANSIONS WITH DELETED DIGITS

被引：42

作者：

KEANE, M ^{[1
]}

SMORODINSKY, M ^{[1
]}

SOLOMYAK, B ^{[1
]}

机构：

[1] UNIV WASHINGTON,DEPT MATH,SEATTLE,WA 98195

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 03期

关键词：

BETA-EXPANSIONS; CANTER SETS; HAUSDORFF DIMENSION;

D O I：

10.2307/2154880

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the size of the set of reals which can be represented in base gamma using only the digits 0,1,3. It is shown that this set has Lebesgue measure zero for gamma less than or equal to 1/3 and equals an interval for gamma greater than or equal to 2/5. Our main goal is to prove that it has Lebesgue measure zero for a certain countable subset of (1/3,2/5).

引用

页码：955 / 966

页数：12

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