Bounds of Hausdorff measure of the Sierpinski gasket

被引：9

作者：

Jia, Baoguo ^{[1
]}

机构：

[1] Zhongshan Univ, Sch Math & Sci Comp, Guangzhou 510275, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 02期

关键词：

Hausdorff measure; self-similar set; Sierpinski gasket;

D O I：

10.1016/j.jmaa.2006.08.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By a new method, we obtain the lower and upper bounds of the Hausdorff measure of the Sierpinski gasket, which can approach the Hausdorff measure of the Sierpinski gasket infinitely. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1016 / 1024

页数：9

共 50 条

[41] Slicing the Sierpinski gasket
Barany, Balazs
Ferguson, Andrew
Simon, Karoly
NONLINEARITY, 2012, 25 (06) : 1753 - 1770
[42] The Hausdorff measure of the level sets of Brownian motion on the Sierpinski carpet
Yuag, CG
MARKOV PROCESSES AND CONTROLLED MARKOV CHAINS, 2002, : 351 - 361
[43] Hausdorff dimension and measure of a class of subsets of the general Sierpinski carpets
Gui, Yong Xin
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (07) : 1369 - 1382
[44] Application of genetic algorithm to hausdorff measure estimation of sierpinski carpet
Xiao, Qili
Xi, Lifeng
KNOWLEDGE-BASED INTELLIGENT INFORMATION AND ENGINEERING SYSTEMS: KES 2007 - WIRN 2007, PT II, PROCEEDINGS, 2007, 4693 : 182 - 188
[45] Coloring Sierpinski graphs and Sierpinski gasket graphs
Klavzar, Sandi
TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (02): : 513 - 522
[46] Quantum walks on Sierpinski gasket and Sierpinski tetrahedron
Xie, Hui-Hui
Zeng, Guo-Mo
QUANTUM INFORMATION PROCESSING, 2021, 20 (07)
[47] Quantum walks on Sierpinski gasket and Sierpinski tetrahedron
Hui-Hui Xie
Guo-Mo Zeng
Quantum Information Processing, 2021, 20
[48] LOWER BOUNDS ON THE HAUSDORFF MEASURE OF NODAL SETS
Sogge, Christopher D.
Zelditch, Steve
MATHEMATICAL RESEARCH LETTERS, 2011, 18 (01) : 25 - 37
[49] Sierpinski gasket上Brown运动k重时的Hausdorff维数
吴军
数学年刊A辑(中文版), 1996, (03) : 353 - 360
[50] Sierpinski's ubiquitous gasket
Stewart, I
SCIENTIFIC AMERICAN, 1999, 281 (02) : 90 - 91

← 1 2 3 4 5 →