ON QUASISYMMETRIC MINIMALITY OF HOMOGENEOUS PERFECT SETS-Reference-Cited by-同舟云学术

ON QUASISYMMETRIC MINIMALITY OF HOMOGENEOUS PERFECT SETS

Published:2018-02 Issue:01 Volume:26 Page:1850010
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

YANG JIAOJIAO¹,WU MIN²,LI YANZHE³^ORCID

Affiliation:

1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

2. School of Mathematics, South China University of Technology, Guangzhou 510641, P. R. China

3. College of Mathematics and Information Science, Guangxi University, Nanning 530004, P. R. China

Abstract

In this paper, we prove that a large class of homogeneous perfect sets of Hausdorff dimension 1 is quasisymmetrically Hausdorff minimal. We also obtain the similar result for quasisymmetrically packing minimality.

Funder

NSFC

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X1850010X

Reference25 articles.

1. Quasisymmetric minimality on packing dimension for Moran sets

2. Conformal dimension does not assume values between zero and one

3. Sets of minimal Hausdorff dimension for quasiconformal maps

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hausdorff dimension and upper box dimension of a class of homogeneous Moran sets;Dynamical Systems;2024-03-04

2. QUASISYMMETRICALLY MINIMAL MORAN SETS ON PACKING DIMENSION;Fractals;2021-03

3. ASSOUAD DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS;Fractals;2020-11

4. QUASISYMMETRIC PACKING-MINIMALITY OF MORAN SETS;Fractals;2019-09

5. LOWER TYPE DIMENSIONS OF SOME MORAN SETS;Fractals;2019-08