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Diffraction of stochastic point sets : exactly solvable examples

2008, Baake, Michael, Birkner, Matthias, Moody, Robert V.

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.