Results 11 to 20 of about 650,097 (307)
On Helly Numbers for Crystals and Cut-And-Project Sets
Studia Scientiarum Mathematicarum Hungarica, 2017 We prove existence of Helly numbers for crystals and for cut-and-project sets with convex windows. Also we show that for a two-dimensional crystal consisting of 𝑘 copies of a single lattice the Helly number does not exceed 𝑘 + 6.
Garber, Alexey
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Pure point diffraction and cut and project schemes for measures: the smooth case
Mathematische Zeitschrift, 2006 30 ...
Lenz, Daniel, Richard, Christoph
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Image Sampling with Quasicrystals [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread out throughout the sampled image.
Mark Grundland +3 more
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Weighted $$1\times 1$$ 1 × 1 Cut-and-Project Sets in Bounded Distance to a Lattice [PDF]
, 2018 Recent results of Grepstad and Lev are used to show that weighted cut-and-project sets with one-dimensional physical space and one-dimensional internal space are bounded distance equivalent to some lattice if the weight function $h$ is continuous on the ...
Dirk Frettlöh, Alexey Garber
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A short guide to pure point diffraction in cut-and-project sets [PDF]
, 2017 We briefly review the diffraction of quasicrystals and then give an elementary alternative proof of the diffraction formula for regular cut-and-project sets, which is based on Bochner's theorem from Fourier analysis. This clarifies a common view that the
Christoph Richard, Nicolae Strungaru
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Symplectic Cuts and Projection Quantization [PDF]
International Journal of Modern Physics D, 1999 The recently proposed projection quantization, which is a method to quantize particular subspaces of systems with known quantum theory, is shown to yield a genuine quantization in several cases. This may be inferred from exact results established within symplectic cutting.
Bojowald, Martin, Strobl, Thomas
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Cut and project sets with polytopal window II: linear repetitivity [PDF]
Transactions of the American Mathematical Society, 2022 In this paper we give a complete characterisation of linear repetitivity for cut and project schemes with convex polytopal windows satisfying a weak homogeneity condition. This answers a question of Lagarias and Pleasants from the 90s for a natural class of cut and project schemes which is large enough to cover almost all such polytopal schemes which ...
Koivusalo, Henna L L, Walton, Jamie
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Cut and project sets with polytopal window I: Complexity [PDF]
Ergodic Theory and Dynamical Systems, 2020 We calculate the growth rate of the complexity function for polytopal cut and project sets. This generalizes work of Julien where the almost canonical condition is assumed. The analysis of polytopal cut and project sets has often relied on being able to replace acceptance domains of patterns by so-called cut regions. Our results correct mistakes in the
HENNA KOIVUSALO, JAMES J. WALTON
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A framework for cut-over management [PDF]
PeerJ Computer Science, 2015 The purpose of this paper is to provide a governance structure for IT-related projects in order to assure a safeguarded and timely transition to a productive environment.
Guido Nageldinger
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JGEET: Journal of Geoscience, Engineering, Environment and Technology, 2023 The "RE" well in the "DN" field is an oil well produced in June 2004 with an initial water cut value of 15% as time went on there was a fairly high increase in the water cut value reaching 97% which means that it caused increased water production.
Boqin Changming, Liang Longwei
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