Connectedness of a class of planar self-affine tiles
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AbstractWe 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. (C) 2011 Elsevier Inc. All rights reserved.
All Author(s) ListDeng QR, Lau KS
Journal nameJournal of Mathematical Analysis and Applications
Volume Number380
Issue Number2
Pages493 - 500
LanguagesEnglish-United Kingdom
KeywordsConnectedness; Planar; Self-affine tiles
Web of Science Subject CategoriesMathematics; MATHEMATICS; Mathematics, Applied; MATHEMATICS, APPLIED

Last updated on 2021-19-01 at 00:15