Self-similar and Self-affine Sets and Measures

被引:0
作者
Falconer, Kenneth j. [1 ]
机构
[1] Univ St Andrews, Sch Math & Stat, St Andrews, Scotland
关键词
HAUSDORFF DIMENSION; OVERLAPS;
D O I
10.1090/bull/1855
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:167 / 174
页数:8
相关论文
共 50 条
[31]   Measures of Full Dimension on Self-Affine Graphs [J].
Olivier, Eric .
RECENT DEVELOPMENTS IN FRACTALS AND RELATED FIELDS, 2010, :295-308
[32]   Resonance between planar self-affine measures [J].
Pyorala, Aleksi .
ADVANCES IN MATHEMATICS, 2024, 451
[33]   The Assouad dimension of self-affine measures on sponges [J].
Fraser, Jonathan M. ;
Kolossvary, Istvan .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (09) :2974-2996
[34]   SEPARATION PROPERTIES FOR SELF-SIMILAR SETS [J].
SCHIEF, A .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 122 (01) :111-115
[35]   Bilipschitz embedding of self-similar sets [J].
Juan Deng ;
Zhi-ying Wen ;
Ying Xiong ;
Li-Feng Xi .
Journal d'Analyse Mathématique, 2011, 114 :63-97
[36]   Self-similar sets in doubling spaces [J].
Balogh, Zoltan M. ;
Rohner, Heiner .
ILLINOIS JOURNAL OF MATHEMATICS, 2007, 51 (04) :1275-1297
[37]   A Certain Family of Self-Similar Sets [J].
Igudesman, K. B. .
RUSSIAN MATHEMATICS, 2011, 55 (02) :26-38
[38]   On univoque points for self-similar sets [J].
Baker, Simon ;
Dajani, Karma ;
Jiang, Kan .
FUNDAMENTA MATHEMATICAE, 2015, 228 (03) :265-282
[39]   Dimensions of the boundaries of self-similar sets [J].
Lau, KS ;
Ngai, SM .
EXPERIMENTAL MATHEMATICS, 2003, 12 (01) :13-26
[40]   BILIPSCHITZ EMBEDDING OF SELF-SIMILAR SETS [J].
Deng, Juan ;
Wen, Zhi-Ying ;
Xiong, Ying ;
Xi, Li-Feng .
JOURNAL D ANALYSE MATHEMATIQUE, 2011, 114 :63-97