SOME PROPERTIES OF SELF-SIMILAR CONVEX POLYTOPES

被引：0

作者：

Tetenov, A. V. ^{[1
]}

Davydkin, I. B. ^{[1
]}

机构：

[1] Gorno Altaisk State Univ, Lenkin Str 1, Gorno Altaisk 649000, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2011年 / 8卷

关键词：

self-similar set; fractal; convex polytope; graph-directed IFS; homothety; semigroup;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for each semigroup G of similarities defining the self-similarity structure on a convex self-similar polytope K there is an edge A of K such that the fixed points of homotheties g is an element of G are dense in A.

引用

页码：48 / 52

页数：5

共 50 条

[21] Average distances on self-similar sets and higher order average distances of self-similar measures
Allen, D.
Edwards, H.
Harper, S.
Olsen, L.
MATHEMATISCHE ZEITSCHRIFT, 2017, 287 (1-2) : 287 - 324
[22] Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets
Winter, Steffen
ADVANCES IN MATHEMATICS, 2015, 274 : 285 - 322
[23] Ergodic properties of a transformation of a self-similar space with a Hausdorff measure
Arkashov, N. S.
MATHEMATICAL NOTES, 2015, 97 (1-2) : 155 - 163
[24] Average distances on self-similar sets and higher order average distances of self-similar measures
D. Allen
H. Edwards
S. Harper
L. Olsen
Mathematische Zeitschrift, 2017, 287 : 287 - 324
[25] Lipschitz equivalence of self-similar sets with triangular pattern
ZHU ZhiYong1
2Department of Mathematics
3Institute of Mathematics
Science China(Mathematics), 2011, 54 (05) : 1019 - 1026
[26] Periodic billiard orbits of self-similar Sierpinski carpets
Chen, Joe P.
Niemeyer, Robert G.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 416 (02) : 969 - 994
[27] Interiors of continuous images of self-similar sets with overlaps
Xi, Lifeng
Jiang, Kan
Zhu, Jiali
Pei, Qiyang
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2019, 95 (3-4): : 401 - 414
[28] Lipschitz equivalence of self-similar sets with triangular pattern
Zhu ZhiYong
Xiong Ying
Xi LiFeng
SCIENCE CHINA-MATHEMATICS, 2011, 54 (05) : 1019 - 1026
[29] Hausdorff measure of infinitely generated self-similar sets
Moran, M
MONATSHEFTE FUR MATHEMATIK, 1996, 122 (04): : 387 - 399
[30] Lipschitz equivalence of self-similar sets with triangular pattern
ZhiYong Zhu
Ying Xiong
LiFeng Xi
Science China Mathematics, 2011, 54 : 1019 - 1026

← 1 2 3 4 5 →