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Zeros of Gaussian analytic functions and determinantal point processes

Author: J Ben Hough
Publisher: Providence, R.I. : American Mathematical Society, ©2009.
Series: University lecture series (Providence, R.I.), 51.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Document Type: Book
All Authors / Contributors: J Ben Hough
ISBN: 9780821843734 0821843737
OCLC Number: 427541739
Description: ix, 154 pages : illustrations ; 26 cm.
Contents: Introduction --
Gaussian Analytic Functions --
Joint Intensities --
Determinantal Point Processes --
The Hyperbolic GAF --
A Determinantal Zoo --
Large Deviations for Zeros --
Advanced Topics: Dynamics and Allocation to Random Zeros.
Series Title: University lecture series (Providence, R.I.), 51.
Responsibility: J. Ben Hough [and others].

Abstract:

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. This title presents  Read more...

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