The Hausdorff and packing measure of some digital expansions

被引：0

|

作者：

Ingebretson, Daniel ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, 851 S Morgan St,322 Sci & Engn Off M-C 249, Chicago, IL 60607 USA

来源：

ACTA ARITHMETICA | 2022年 / 206卷 / 04期

关键词：

digital expansions; Hausdorff measure; packing measure;

D O I：

10.4064/aa220124-25-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

收藏

页码：339 / 352

页数：14

相关论文

共 50 条

[1] Hausdorff and packing measure for solenoids
Rams, M
Simon, K
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2003, 23 : 273 - 291
[2] Hausdorff and packing measure for thick solenoids
Rams, M
STUDIA MATHEMATICA, 2004, 163 (02) : 193 - 202
[3] Hausdorff and packing dimensions of Mandelbrot measure
Attia, Najmeddine
INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (09)
[4] On the equivalence of the multifractal centred Hausdorff measure and the multifractal packing measure
Dai, Meifeng
NONLINEARITY, 2008, 21 (07) : 1443 - 1453
[5] Sets of β-expansions and the Hausdorff measure of slices through fractals
Kempton, Tom
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2016, 18 (02) : 327 - 351
[6] THE MULTIFRACTAL HAUSDORFF AND PACKING MEASURE OF GENERAL SIERPINSKI CARPETS
黄立虎
余旌胡
ActaMathematicaScientia, 2000, (03) : 313 - 321
[7] The multifractal Hausdorff and packing measure of general Sierpinski carpets
Huang, LH
Yu, JH
ACTA MATHEMATICA SCIENTIA, 2000, 20 (03) : 313 - 321
[8] Self-similar sets of zero Hausdorff measure and positive packing measure
Peres, Y
Simon, K
Solomyak, B
ISRAEL JOURNAL OF MATHEMATICS, 2000, 117 (1) : 353 - 379
[9] Hausdorff measure and packing measure of the graph of dilation-stable Levy processes
Hou, Yanyan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 390 (01) : 234 - 243
[10] Self-similar sets of zero Hausdorff measure and positive packing measure
Yuval Peres
Károly Simon
Boris Solomyak
Israel Journal of Mathematics, 2000, 117 : 353 - 379

← 1 2 3 4 5 →