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Characterization of Cut-and-Project Sets Using a Binary Operation
Letters in Mathematical Physics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masáková, Zuzana +2 more
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Asymmetries of Cut-and-Project Sets and Related Tilings
Interdisciplinary Information Sciences, 2009 In order to characterize the (a)symmetries of cut-and-project sets, we prove the following: any cut-and-project set with the two projections being injective on the lattice is fixed by an affine transformation if and only if (1) the window restricted on the projection of the lattice is fixed by another affine transformation, and (2) both affine ...
IIZUKA, Shinji +2 more
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Brazilian cuts put projects in peril
Physics World, 2015The 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.
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S-convexity and cut-and-project sets
Ferroelectrics, 2001Abstract 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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Drill Cuttings Injection Project on Kashagan Field
Proceedings, 2011Drill 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 +1 more
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Two‐scale cut‐and‐projection convergence; homogenization of quasiperiodic structures
Mathematical Methods in the Applied Sciences, 2017We 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 +2 more
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Finite graphs associated with a cut-and-project set
Czechoslovak Journal of Physics, 2001A 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.
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Homogenization of Quasi-Crystalline Functionals via Two-Scale-Cut-and-Project Convergence
SIAM Journal on Mathematical Analysis, 2021Rita Ferreira, Irène Fonseca
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