Random self-affine multifractal Sierpinski sponges in Rd

被引：0

作者：

Olsen, Lars ^{[1
]}

机构：

[1] Univ St Andrews, Dept Math, St Andrews KY16 9SS, Fife, Scotland

来源：

MONATSHEFTE FUR MATHEMATIK | 2011年 / 162卷 / 01期

关键词：

Multifractals; Self-affine measures; Sierpinski sponges; Hausdorff dimension Packing dimension; Renyi dimension; Local dimension; HAUSDORFF DIMENSION; SINGULARITY SPECTRUM; BIRKHOFF AVERAGES; SETS; CARPETS; FRACTALS;

D O I：

10.1007/s00605-009-0160-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the Hausdorff and packing dimensions and the Renyi dimensions of random self-affine multifractal Sierpinski sponges in R-d.

引用

页码：89 / 117

页数：29

共 50 条

[41] SPECTRALITY OF SELF-AFFINE MEASURES ON THE THREE-DIMENSIONAL SIERPINSKI GASKET
Li, Jian-Lin
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2012, 55 : 477 - 496
[42] The Assouad spectrum of random self-affine carpets
Fraser, Jonathan M.
Troscheit, Sascha
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2021, 41 (10) : 2927 - 2945
[43] A class of self-affine sets and self-affine measures
Feng, DJ
Wang, Y
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2005, 11 (01) : 107 - 124
[44] A Class of Self-Affine Sets and Self-Affine Measures
De-Jun Feng
Yang Wang
[J]. Journal of Fourier Analysis and Applications, 2005, 11 : 107 - 124
[45] Self-affine multifractal analysis in pp collisions at 400 GeV/c
Wang, SS
Wu, C
[J]. PHYSICS LETTERS B, 2000, 473 (1-2) : 172 - 176
[46] Dimensions of 'self-affine sponges' invariant under the action of multiplicative integers
Brunet, Guilhem
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (02) : 417 - 459
[47] The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
Tushar Das
David Simmons
[J]. Inventiones mathematicae, 2017, 210 : 85 - 134
[48] The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
Das, Tushar
Simmons, David
[J]. INVENTIONES MATHEMATICAE, 2017, 210 (01) : 85 - 134
[49] Spectrality of self-affine Sierpinski-type measures on R2
Dai, Xin-Rong
Fu, Xiao-Ye
Yan, Zhi-Hui
[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2021, 52 (52) : 63 - 81
[50] Badly approximable points on self-affine sponges and the lower Assouad dimension
Das, Tushar
Fishman, Lior
Simmons, David
Urbanski, Mariusz
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2019, 39 : 638 - 657

← 1 2 3 4 5 →