Boundary parametrization and the topology of tiles
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in: Nagoya Mathematical Journal, Jahrgang 226.2017, Nr. June, 19.10.2016, S. 127-164.
Publikationen: Beitrag in Fachzeitschrift › Artikel › Forschung › (peer-reviewed)
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TY - JOUR
T1 - Boundary parametrization and the topology of tiles
AU - Akiyama, Shigeki
AU - Loridant, Benoit
PY - 2016/10/19
Y1 - 2016/10/19
N2 - As an application of the boundary parametrization developed in our previous papers, we propose a new method to deduce information on the connected components of the interior of tiles. This gives a systematic way to study the topology of a certain class of self-affine tiles. An example due to Bandt and Gelbrich is examined to prove the efficiency of the method.
AB - As an application of the boundary parametrization developed in our previous papers, we propose a new method to deduce information on the connected components of the interior of tiles. This gives a systematic way to study the topology of a certain class of self-affine tiles. An example due to Bandt and Gelbrich is examined to prove the efficiency of the method.
U2 - 10.1017/nmj.2016.43
DO - 10.1017/nmj.2016.43
M3 - Article
VL - 226.2017
SP - 127
EP - 164
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
SN - 2152-6842
IS - June
ER -
