Diffraction of stochastic point sets: Exactly solvable examples
- Baake, Michael
- Birkner, Matthias
- Moody, Robert V.
2010 Mathematics Subject Classification
- 60G55, 60G57, 78A45
- Diffraction, stochastic point sets
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.