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Diffraction Theory of Point Processes: Systems with Clumping and Repulsion
Published 16 May 2014 in math-ph and math.MP | (1405.4255v2)
Abstract: 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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