CONNECTEDNESS OF SELF-AFFINE SETS WITH PRODUCT DIGIT SETS-Reference-Cited by-同舟云学术

CONNECTEDNESS OF SELF-AFFINE SETS WITH PRODUCT DIGIT SETS

Published:2017-11-21 Issue:06 Volume:25 Page:1750053
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

LIU JING-CHENG¹,LUO JUN JASON²,TANG KE¹

Affiliation:

1. Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan 410081, P. R. China

2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China

Abstract

Let [Formula: see text] be an expanding lower triangular matrix and [Formula: see text]. Let [Formula: see text] be the associated self-affine set. In the paper, we generalize some connectedness results on self-affine tiles to self-affine sets and provide a necessary and sufficient condition for [Formula: see text] to be connected.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X17500530

Reference17 articles.

1. Connectedness of a class of planar self-affine tiles

2. On the Connectedness of Self-Affine Tiles

3. Self-Affine Tiles in Rn

4. Disklikeness of planar self-affine tiles

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