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Weighted Model Sets and their Higher Point-Correlations

  Published:2011-05-30
 Printed: Sep 2012
  • Xinghua Deng,
    Department of Mathematics, Ocean University of China, Qingdao, 266071, China
  • Robert V. Moody,
    Department of Mathematics and Statistics, University of Victoria, Victoria BC, V8W 3R4
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Abstract

Examples of distinct weighted model sets with equal $2,3,4, 5$-point correlations are given.
Keywords: model sets, correlations, diffraction model sets, correlations, diffraction
MSC Classifications: 52C23, 51P05, 74E15, 60G55 show english descriptions Quasicrystals, aperiodic tilings
Geometry and physics (should also be assigned at least one other classification number from Sections 70--86)
Crystalline structure
Point processes
52C23 - Quasicrystals, aperiodic tilings
51P05 - Geometry and physics (should also be assigned at least one other classification number from Sections 70--86)
74E15 - Crystalline structure
60G55 - Point processes
 

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