Diffraction theory of point processes: systems with clumping and repulsion. (English) Zbl 1320.60114
Summary: We discuss several examples of point processes (all taken from [J. B. Hough et al., Zeros of Gaussian analytic functions and determinantal point processes. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1190.60038)]) for which the autocorrelation and diffraction measures can be calculated explicitly. These include certain classes of determinantal and permanental point processes, as well as an isometry-invariant point process that arises as the zero set of a Gaussian random analytic function.
Citations:
Zbl 1190.60038Software:
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