Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Franz Gähler"'
Publikováno v:
Symmetry, Vol 4, Iss 4, Pp 581-602 (2012)
Aperiodic tilings with a small number of prototiles are of particular interest, both theoretically and for applications in crystallography. In this direction, many people have tried to construct aperiodic tilings that are built from a single prototil
Externí odkaz:
https://doaj.org/article/ce50687baddf42548fe0f20ce4670744
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 16 no. 3, Iss Discrete Algorithms (2014)
Discrete Algorithms
Externí odkaz:
https://doaj.org/article/03f46efc88ab4165b501ce08867624b6
The direct product of two Fibonacci tilings can be described as a genuine stone inflation rule with four prototiles. This rule admits various modifications, which lead to 48 different inflation rules, known as the direct product variations. They all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c48f4d56477dd6471366a56cae1b8f3
We consider tilings of the plane with twelve-fold symmetry obtained by the cut-and-projection method. We compute their cohomology groups using the techniques introduced in [ 9]. To do this, we completely describe the window, the orbits of lines under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dffa20dc27631890abfd873011c745f
https://doi.org/10.1093/imrn/rnab117
https://doi.org/10.1093/imrn/rnab117
Publikováno v:
Spectral Structures and Topological Methods in Mathematics ISBN: 9783037191972
Spectral Structures and Topological Methods in Mathematics
Spectral Structures and Topological Methods in Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::357d2520f6a3580982a2907edbf12ec1
https://doi.org/10.4171/197-1/9
https://doi.org/10.4171/197-1/9
The pair correlations of primitive inflation rules are analysed via their exact renormalisation relations. We introduce the inflation displacement algebra that is generated by the Fourier matrix of the inflation and deduce various consequences of its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3d069965417a6dfce715dc87fd89efb
Autor:
Franz Gähler, Eden Delight Miro
Publikováno v:
Acta Physica Polonica A. 126:564-567
We look at the topology of the tiling space of locally random Fibonacci substitution, which is defined as a -> ba with probability p, a -> ab with probability 1-p and b -> a for 0 < p < 1. We show that its Cech cohomology group is not finitely genera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cdc8ced465be5bdc7d75a963a8ee33a
https://doi.org/10.12693/aphyspola.126.564
https://doi.org/10.12693/aphyspola.126.564
Autor:
Adiceam, Faustin, Haynes, Alan Kaan, David, Damanik, Franz, Gähler, Uwe, Grimm, Antoine, Julien, Andrés, Navas, Sadun, Lorenzo, Barak, Weiss
Publikováno v:
Arnold Mathematical Journal
This list of problems arose as a collaborative effort among the participants of the Arbeitsgemeinschaft on Mathematical Quasicrystals, which was held at the Mathematisches Forschungsinstitut Oberwolfach in October 2015. The purpose of our meeting was
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=core_ac_uk__::840d0b7741ef0273e839e4efe028e30b
https://eprints.whiterose.ac.uk/109936/8/art3A1010072Fs40598_016_0046_6.pdf
https://eprints.whiterose.ac.uk/109936/8/art3A1010072Fs40598_016_0046_6.pdf
Publikováno v:
Comptes Rendus Mathematique. 350:627-631
We study the space of all tilings which can be obtained using the Robinson tiles (this is a two-dimensional subshift of finite type). We prove that it has a unique minimal subshift, and describe it by means of a substitution. This description allows
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::accdab8fd0ffa821d8951514bcdd94dd
https://doi.org/10.1016/j.crma.2012.06.007
https://doi.org/10.1016/j.crma.2012.06.007
Publikováno v:
Zeitschrift für Kristallographie. 223:801-804
The integer Cech cohomology of canonical projection tilings of dimension three and codimension three is derived. These formulae are then evaluated for several icosahedral tilings known from the literature. Rather surprisingly, the cohomologies of all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d88d6e7cdb2c22608331b3a32ac56629
https://doi.org/10.1524/zkri.2008.1070
https://doi.org/10.1524/zkri.2008.1070