Results 181 to 190 of about 1,110 (213)

Cut-and-project graphs and other complexes

Theoretical Computer Science, 2021
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Gregory L Mccolm
exaly   +2 more sources

Inflation centres of the cut and project quasicrystals

Journal of Physics A, 1998
Cut-and-project quasicrystals which display golden ratio inflation symmetries are investigated. The subclass with convex window is exhaustively described with respect to the possible inflation centres, both internal and external to the point set. Also, the possible inflation factors themselves are determined and found to form a 1D quasicrystal.
Zuzana Masáková, Edita Pelantová
exaly   +3 more sources

Cut-and-project sets and their -duals

Philosophical Magazine, 2007
Motivated by approximation and real analysis, Meyer introduced model sets (also called cut-and-project sets), which are used as mathematical models of quasicrystals. In his study, a central role was played by the ϵ-dual. The ϵ-dual of a lattice is the reciprocal lattice, and that of a cut-and-project set is contained by the diffraction pattern.
Y. Akama, S. Iizuka
openaire   +1 more source

Cut-and-project sequences and substitution rules

Ferroelectrics, 2001
Abstract We consider infinite words in a 3-letter alphabet which arise from the cut-and-project scheme based on quadratic unitary Pisot numbers. Such sequences may be considered as ternary generalizations of classical Sturmian sequences. We describe the complexity of such sequences and give a condition under which these generalized Sturmian sequences ...
Zuzana Masáková, Edita Pelantová
openaire   +1 more source

Characterization of Cut-and-Project Sets Using a Binary Operation

Letters in Mathematical Physics, 2000
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Masáková, Zuzana, Pelantová, Edita, Svobodová, Milena   +2 more
openaire   +1 more source

Brazilian cuts put projects in peril

Physics World, 2015
The soap opera surrounding Brazil's participation in the European Southern Observatory (ESO) has taken another twist after the Ministry of Science, Technology and Innovation said that the government is still "considering" what to do, even though physicist Sergio Rezende – a former science minister – was behind the push for Brazilian membership.
openaire   +1 more source

Drill Cuttings Injection Project on Kashagan Field

Proceedings, 2011
Drill Cuttings Injection (DCI) is worldwide recognised technology and best practicable environmental option for drill wastes utilization. Agip kco is currently implementing first Pilot Project for Drill Cuttings Injection on Kashagan field. Article provides an overview of the project with the emphasis on its subsurface part, in particularlyfeasibility ...
Z. Sarkitov, G. Galiyeva and F. Ibragimov   +1 more
openaire   +1 more source

S-convexity and cut-and-project sets

Ferroelectrics, 2001
Abstract Cut-and-project sets with convex acceptance window based on irrationalities τ = 1/2(1 + √5), β = 1 + √2, μ = 2 + √3 are models for experimentally observed quasicrystals-materials with diffraction patterns consisting of sharp Bragg peaks in crystalographically disallowed patterns.
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Two‐scale cut‐and‐projection convergence; homogenization of quasiperiodic structures

Mathematical Methods in the Applied Sciences, 2017
We demonstrate how the problem of finding the effective property of quasiperiodic constitutive relations can be simplified to the periodic homogenization setting by transforming the original quasiperiodic material structure to a periodic heterogeneous material in a higher dimensional space.
Wellander, Niklas, Guenneau, Sébastien, Cherkaev, Elena   +2 more
openaire   +1 more source

Finite graphs associated with a cut-and-project set

Czechoslovak Journal of Physics, 2001
A chain of finite graphsGm can be associated with a cut-and-project set in a natural way [J. Phys. A: Math. Gen.33 (2000) 2917]. The chain of Schrodinger type operatorsHm we define in this short note, may be useful in the description of the physical properties of quasicrystals.
openaire   +1 more source