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
来源：
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年 / 62卷 / 01期
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
[21]   DIMENSION OF SELF-AFFINE SETS WITH HOLES [J].
Ferguson, Andrew ;
Jordan, Thomas ;
Rams, Michal .
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2015, 40 (01) :63-88
[22]   Fourier transform of self-affine measures [J].
Li, Jialun ;
Sahlsten, Tuomas .
ADVANCES IN MATHEMATICS, 2020, 374
[23]   Dimension of generic self-affine sets with holes [J].
Henna Koivusalo ;
Michał Rams .
Monatshefte für Mathematik, 2019, 188 :527-546
[24]   ASSOUAD DIMENSION OF PLANAR SELF-AFFINE SETS [J].
Barany, Balazs ;
Kaenmaki, Antti ;
Rossi, Eino .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (02) :1297-1326
[25]   Dimensions of a class of self-affine Moran sets [J].
Gu, Yifei ;
Miao, Jun Jie .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 513 (01)
[26]   Overlapping self-affine sets of Kakeya type [J].
Kaenmaki, Antti ;
Shmerkin, Pablo .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2009, 29 :941-965
[27]   Generalized Dimensions of Self-Affine Sets with Overlaps [J].
Ma, Guanzhong ;
Luo, Jun ;
Zhou, Xiao .
FRACTAL AND FRACTIONAL, 2024, 8 (12)
[28]   Dimension of generic self-affine sets with holes [J].
Koivusalo, Henna ;
Rams, Michal .
MONATSHEFTE FUR MATHEMATIK, 2019, 188 (03) :527-546
[29]   Subshifts of finite type and self-similar sets [J].
Jiang, Kan ;
Dajani, Karma .
NONLINEARITY, 2017, 30 (02) :659-686
[30]   DIMENSION MAXIMIZING MEASURES FOR SELF-AFFINE SYSTEMS [J].
Barany, Balazs ;
Rams, Michal .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (01) :553-576
12345