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Visualized Experimental Investigation of Flow-Field Reconstruction and Enhanced Oil Recovery by Heterogeneous-Phase Composite Flooding in Complex Narrow-Channel Reservoirs. [PDF]
Zhang X +5 more
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Cut-and-project graphs and other complexes
Theoretical Computer Science, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gregory L McColm
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A characterisation of linear repetitivity for cut and project sets with general polytopal windows [PDF]
The cut and project method is a central construction in the theory of Aperiodic Order for generating quasicrystals with pure point diffraction. Linear repetitivity (LR) is a form of ideal regularity of aperiodic patterns.
James Walton
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Sharp density discrepancy for cut and project sets an approach via lattice point counting [PDF]
Cut and project sets are obtained by taking an irrational slice of a lattice and projecting it to a lower dimensional subspace. We seek to quantify fluctuations from the asymptotic mean for point counts.
Michael Bjorklund +2 more
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Cut-and-project sets and their -duals
Philosophical Magazine, 2007Motivated 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
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Inflation centres of the cut and project quasicrystals
Journal of Physics A: Mathematical and General, 1998Cut-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.
Masáková, Zuzana +2 more
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Cut-and-project sequences and substitution rules
Ferroelectrics, 2001Abstract 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
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