Zobrazeno 1 - 10
of 614
pro vyhledávání: '"Substitution tiling"'
Akademický článek
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Publikováno v:
Journal of Geometry and Symmetry in Physics. 60:47-64
This paper characterizes primitive substitution tiling systems for Lie groups for which every element of the associated tiling space generates coherent frames for corresponding representation spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7b3fc8a89ef6a95f66c4f78719a8fa7
https://doi.org/10.7546/jgsp-60-2021-47-64
https://doi.org/10.7546/jgsp-60-2021-47-64
Publikováno v:
Acta Crystallographica. Section A, Foundations and Advances
We consider the scaling properties characterizing the hyperuniformity (or anti-hyperuniformity) of long wavelength fluctuations in a broad class of one-dimensional substitution tilings. We present a simple argument that predicts the exponent $\alpha$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8be6d932ba56f00a11066641f84f98a5
http://europepmc.org/articles/PMC6302933
http://europepmc.org/articles/PMC6302933
Publikováno v:
Acta Crystallographica. Section A, Foundations and Advances
The equivalence between pure discrete spectrum and regular model sets in d-dimensional unimodular substitution tilings is discussed.
Primitive substitution tilings on whose expansion maps are unimodular are considered. It is assumed that all the
Primitive substitution tilings on whose expansion maps are unimodular are considered. It is assumed that all the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e015ff62f0f186040a05f8d96d1b6e17
http://europepmc.org/articles/PMC7478237
http://europepmc.org/articles/PMC7478237
Akademický článek
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Autor:
Stefan Pautze
Publikováno v:
Symmetry, Vol 9, Iss 2, p 19 (2017)
The class of Cyclotomic Aperiodic Substitution Tilings (CASTs) is introduced. Its vertices are supported on the 2 n -th cyclotomic field. It covers a wide range of known aperiodic substitution tilings of the plane with finite rotations. Substitution
Externí odkaz:
https://doaj.org/article/35f9b8f1eb3f4d2eb3d97bb690b7518f
Autor:
Ozkaraca, Mustafa Ismail
We present an order structure for tiling substitution systems of the plane. The order structure gives rise to a space filling curve which is defined over an iterative system akin to the given tiling substitution. We use this space filling curve to de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fb2f906043f2522d630c0e8fdd3adbc
Autor:
Richard Kenyon
We study isometry-invariant probability measures on the space $\Omega$ of tilings of the hyperbolic plane with right-angled hexagons of varying shapes. We prove that, for each measure $\mu$ in a certain natural family of measures on right-angled hexa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f086de3cd7fbb6d09a073c63b57c49f5
https://doi.org/10.2307/j.ctvthhdvv.11
https://doi.org/10.2307/j.ctvthhdvv.11
Publikováno v:
Bulletin de la société mathématique de France
Bulletin de la société mathématique de France, Société Mathématique de France, 2018, 146 (3), pp.575-612. ⟨10.24033/bsmf.2762⟩
Bulletin de la société mathématique de France, 2018, 146 (3), pp.575-612. ⟨10.24033/bsmf.2762⟩
Bulletin de la société mathématique de France, Société Mathématique de France, 2018, 146 (3), pp.575-612. ⟨10.24033/bsmf.2762⟩
Bulletin de la société mathématique de France, 2018, 146 (3), pp.575-612. ⟨10.24033/bsmf.2762⟩
27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905; International audience; We consider two families of planar self-similar tilings of different nature: the tilings consisting of translated copies of the fractal sets defined by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51dc71c2190f51e2ab0c53d092940ed5
https://doi.org/10.24033/bsmf.2762
https://doi.org/10.24033/bsmf.2762
Autor:
Tero Harju, Vesa Halava
Publikováno v:
Theoretical Computer Science. 701:120-124
In 1966 J.R. Isbell proved his algebraic Zig-Zag Theorem using a simple property of paths in a tiling of a plane rectangle. We prove here Isbell's lemma for more general tilings of plane rectangles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffe9596f04d60d13c3afb3983ad4ce68
https://doi.org/10.1016/j.tcs.2017.02.034
https://doi.org/10.1016/j.tcs.2017.02.034