Results 1 to 10 of about 650,097 (307)
Gap structure of 1D cut and project Hamiltonians [PDF]
Journal of Physics: Conference Series, 2017 We study the gap properties of nearest neighbors tight binding models on quasiperiodic chains. We argue that two kind of gaps should be distinguished: stable and transient. We show that stable gaps have a well defined quasiperiodic limit. We also show that there is a direct relation between the gap size and the gap label.
Nicolas Macé +2 more
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ON SELF-SIMILARITIES OF CUT-AND-PROJECT SETS
Acta Polytechnica, 2017 Among the commonly used mathematical models of quasicrystals are Delone sets constructed using a cut-and-project scheme, the so-called cut-and-project sets.
Zuzana Masáková, Jan Mazáč
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Logic, 2021 Short Cut Bedugul is a short road construction project on the Singaraja-Denpasar route. The short cut development includes the implementation of an occupational health and safety management system (SMK3).
I Ketut Sutapa +4 more
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Classification and statistics of cut-and-project sets
Journal of the European Mathematical Society, 2023 We define Ratner–Marklof–Strömbergsson measures (following Marklof and Strömbergsson (2014)). These are probability measures supported on cut-and-project sets in \smash{\mathbb{R}^d} (d \geq 2) which are invariant and ...
René Rühr +2 more
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Jordan algebras over icosahedral cut-and-project quasicrystals [PDF]
Journal of Geometry and Physics, 2023 In this paper we present a general setting for aperiodic Jordan algebras arising from icosahedral quasicrystals that are obtainable as model sets of a cut-and-project scheme with a convex acceptance window. In these hypothesis, we show the existence of an aperiodic Jordan algebra structure whose generators are in one-to-one correspondence with elements
Daniele Corradetti +3 more
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Cut‐and‐project quasicrystals, lattices and dense forests [PDF]
Journal of the London Mathematical Society, 2022 This version includes a picture provided by the referee and a subsection relating the theory developed in this paper to the properties of twisted bilayer graphene in ...
Faustin Adiceam +2 more
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On generalized self-similarities of cut-and-project sets [PDF]
Linear Algebra and its Applications, 2021 Cut-and-project sets $ \subset\mathbb{R}^n$ represent one of the types of uniformly discrete relatively dense sets. They arise by projection of a section of a higher-dimensional lattice to a suitably oriented subspace. Cut-and-project sets find application in solid state physics as mathematical models of atomic positions in quasicrystals, the ...
Zuzana Masáková +2 more
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Homogenization of quasi-crystalline functionals via\n two-scale-cut-and-project convergence [PDF]
SIAM Journal on Mathematical Analysis, 2020 23 pages, 1 ...
Rita Ferreira +2 more
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Cut-and-Project Tilings Constructed From Crystallographic Tilings. [PDF]
, 2016 An important method to construct aperiodic tilings is the method of canonical projection from higher dimensional lattices. Lattices are the orbits of special type of crystallographic groups. For example, Penrose tilings can be obtained from a lattice tiling of E5, by the cut-and project method.
Hawazin Daif Allah Alzahrani
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Statistics of patterns in typical cut and project sets [PDF]
Ergodic Theory and Dynamical Systems, 2018 In this article pattern statistics of typical cubical cut and project sets are studied. We give estimates for the rate of convergence of appearances of patches to their asymptotic frequencies. We also give bounds for repetitivity and repulsivity functions. The proofs use ideas and tools developed in discrepancy theory.
Alan Haynes +3 more
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