A class of self-affine tiles in Rd that are d-dimensional tame balls

首页 > 成果 > 详情

认领

导出

Link by DOI

反馈

作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Deng, Guotai;Liu, Chuntai;Ngai, Sze -Man

通讯作者：

Chuntai Liu<&wdkj&>Sze-Man Ngai

作者机构：

[Deng, Guotai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.

[Deng, Guotai] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.

[Liu, Chuntai] Wuhan Polytech Univ, Sch Math & Comp Sci, Wuhan 430023, Peoples R China.

[Ngai, Sze -Man] Hunan Normal Univ, Coll Math & Stat, Key Lab High Performance Comp & Stochast Informat, HPCSIP,Minist Educ China, Changsha 410081, Hunan, Peoples R China.

[Ngai, Sze -Man] Georgia Southern Univ, Dept Math Sci, Statesboro, GA 30460 USA.

通讯机构：

[Chuntai Liu] S

[Sze-Man Ngai] K

School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430023, PR China<&wdkj&>Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, PR China<&wdkj&>Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460-8093, USA

语种：

英文

关键词：

Ball-like tile;Brouwer's invariance of domain theorem;Horizontal distance;Self-affine tile;Tame ball

期刊：

Advances in Mathematics

ISSN：

0001-8708

年：

2022

卷：

410

页码：

108716

DOI：

10.1016/j.aim.2022.108716

基金类别：

The first author is supported by the National Natural Science Foundation of China grant ( 12071171 ), Hubei Provincial Natural Science Foundation of China ( 2020CFB833 ), and Science Foundation of Jiangxi Education Department ( GJJ202302 ). The second author is supported in part by the National Natural Science Foundation of China grant ( 11601403 ), and Hubei Provincial Natural Science Foundation of China ( 2019CFB602 ). The third author is supported in part by the National Natural Science Foundation of China grant ( 11771136 ), the Hunan Province' Hundred Talents Program , Construct Program of the Key Discipline in Hunan Province , and a Faculty Research Scholarly Pursuit Award from Georgia Southern University .

机构署名：

本校为其他机构

院系归属：

数学与计算机学院

摘要：

We study a family of self-affine tiles in Rd (d >= 2) with noncollinear digit sets, which naturally generalizes a two-dimensional class studied originally by Deng and Lau and its extension to R3 by the authors. By using Brouwer's invariance of domain theorem, along with a tool which we call horizontal distance, we obtain necessary and sufficient conditions for the tiles to be d-dimensional tame balls. This answers positively the conjecture in an earlier paper by the authors stating that a member in a certain class of self-affine tiles is homeomorphic to a d-dimensional ball if and only if its ...

反馈

产权有误：本人成果被他人认领

数据有误：数据基本信息有误

归属有误：成果的院系归属、机构署名归属有误

其他原因：

验证码：

看不清楚，换一个

确定

取消

成果认领

标题：

用户	作者	通讯作者	--
	请选择	请选择	--

确定

取消

A class of self-affine tiles in Rd that are d-dimensional tame balls

反馈

成果认领

提示

该栏目需要登录且有访问权限才可以访问