Connectedness of a class of planar self-affine tiles |
| |
| Authors: | Qi-Rong Deng Ka-sing Lau |
| |
| Institution: | a Department of Mathematics, Fujian Normal University, Fuzhou 350007, PR China
b Department of Mathematics, The Chinese University of Hong Kong, Hong Kong |
| |
| Abstract: | We consider a class of planar self-affine tiles T that are generated by the lower triangular expanding matrices and the product-form digit sets. We give necessary and sufficient conditions for T to be connected and disk-like. Also for the disconnect case, we give a condition that enumerates the number of connected components of T. |
| |
| Keywords: | Connectedness Planar Self-affine tiles |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
