WIAS Preprint No. 1307, (2008)

Diffraction of stochastic point sets: Exactly solvable examples



Authors

  • Baake, Michael
  • Birkner, Matthias
  • Moody, Robert V.

2010 Mathematics Subject Classification

  • 60G55, 60G57, 78A45

Keywords

  • Diffraction, stochastic point sets

Abstract

Stochastic point sets are considered that display a diffraction spectrum of mixed type, with special emphasis on explicitly computable cases together with a unified approach of reasonable generality. Several pairs of autocorrelation and diffraction measures are discussed that show a duality structure that may be viewed as analogues of the Poisson summation formula for lattice Dirac combs.

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