The book examines in some depth two important classes of point processes, determinantal processes and ""Gaussian zeros"", i.e., zeros of random analytic functions with Gaussian coefficients. These processes share a property of ""point-repulsion"", where distinct points are less …
"The book examines in some depth two important classes of point processes, determinantal processes and "Gaussian zeros", i.e., zeros of random analytic functions with Gaussian coefficients. These processes share a property of "point-repulsion", where distinct points are less lik…
Originally published in 1981, The Geometry of Random Fields remains an important text for its coverage and exposition of the theory of both smooth and nonsmooth random fields; closed form expressions for the various geometric characteristics of the excursion sets of smooth, stat…