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2,155 results on '"Liu, Chuntai"'

8. A class of self-affine tiles in $\mathbb{R}^d$ that are $d$-dimensional tame balls

Author

Deng, Guotai, Liu, Chuntai, and Ngai, Sze-man

Subjects
Mathematics - Functional Analysis, Mathematics - Geometric Topology
Abstract

We study a family of self-affine tiles in $\mathbb{R}^d$ ($d\ge2$) with noncollinear digit sets, which naturally generalizes a class studied originally by Deng and Lau in $\mathbb{R}^2$ and its extension to $\mathbb{R}^3}$ 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 interior is connected., Comment: 56 pages, 17 figures

Published
2022

12. Van der Waals nanomesh electronics on arbitrary surfaces

Author

Meng, You, Li, Xiaocui, Kang, Xiaolin, Li, Wanpeng, Wang, Wei, Lai, Zhengxun, Wang, Weijun, Quan, Quan, Bu, Xiuming, Yip, SenPo, Xie, Pengshan, Chen, Dong, Li, Dengji, Wang, Fei, Yeung, Chi-Fung, Lan, Changyong, Liu, Chuntai, Shen, Lifan, Lu, Yang, Chen, Furong, Wong, Chun-Yuen, and Ho, Johnny C.

Published
2023
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