Diffraction Theory of Point Processes: Systems with Clumping and Repulsion
classification
🧮 math-ph
math.MP
keywords
pointprocessesdiffractionanalyticarisesautocorrelationcalculatedcertain
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We discuss several examples of point processes (all taken from Hough, Krishnapur, Peres, Vir\'ag (2009)) 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.
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