Boundary parametrization and the topology of tiles

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Boundary parametrization and the topology of tiles. / Akiyama, Shigeki; Loridant, Benoit.
In: Nagoya Mathematical Journal, Vol. 226.2017, No. June, 19.10.2016, p. 127-164.

Research output: Contribution to journalArticleResearchpeer-review

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Akiyama S, Loridant B. Boundary parametrization and the topology of tiles. Nagoya Mathematical Journal. 2016 Oct 19;226.2017(June):127-164. Epub 2016 Oct 19. doi: 10.1017/nmj.2016.43

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Akiyama, Shigeki ; Loridant, Benoit. / Boundary parametrization and the topology of tiles. In: Nagoya Mathematical Journal. 2016 ; Vol. 226.2017, No. June. pp. 127-164.

Bibtex - Download

@article{7fa2dd2f51dc40be969b075c266dfb41,
title = "Boundary parametrization and the topology of tiles",
abstract = "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.",
author = "Shigeki Akiyama and Benoit Loridant",
year = "2016",
month = oct,
day = "19",
doi = "10.1017/nmj.2016.43",
language = "English",
volume = "226.2017",
pages = "127--164",
journal = "Nagoya Mathematical Journal",
issn = "2152-6842",
publisher = "Cambridge University Press",
number = "June",

}

RIS (suitable for import to EndNote) - Download

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 -