Bibliographic Details
| Title: |
Connectedness of a class of planar self-affine tiles |
| Authors: |
Deng, Qi-Rong1 qrdeng@fjnu.edu.cn, Lau, Ka-sing2 kslau@math.cuhk.edu.hk |
| Source: |
Journal of Mathematical Analysis & Applications. Aug2011, Vol. 380 Issue 2, p493-500. 8p. |
| Subjects: |
Set theory, Matrices (Mathematics), Mathematical forms, Number theory, Triangularization (Mathematics), Mathematical analysis |
| Abstract: |
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. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
