[PDF.07kt] Zeros of Gaussian Analytic Functions and Determinantal Point Processes (University Lecture Series)

Zeros of Gaussian Analytic Functions and Determinantal Point Processes (University Lecture Series)

[PDF.be59] Zeros of Gaussian Analytic Functions and Determinantal Point Processes (University Lecture Series)

Zeros of Gaussian Analytic  Manjunath Krishnapur, Yuval Peres, and Balint Virag J. Ben Hough epub
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Zeros of Gaussian Analytic  Manjunath Krishnapur, Yuval Peres, and Balint Virag J. Ben Hough book review
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 | #3652707 in Books |  2009-10-13 | Original language:English |  10.25 x7.00 x.50l,.68 | File type: PDF | 154 pages

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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 likely to fall close to each other than in processes, such as the Poisson process, that arise from independent sampling. Nevertheless, the treatment in the book emphasizes the use of independence:...

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