skip to content
Zeros of Gaussian analytic functions and determinantal point processes Preview this item
ClosePreview this item
Checking...

Zeros of Gaussian analytic functions and determinantal point processes

Author: J Ben Hough; et al
Publisher: Providence, R.I. : American Mathematical Society, ©2009.
Series: University lecture series (Providence, R.I.), 51.
Edition/Format:   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...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: J Ben Hough; et al
ISBN: 9780821843734 0821843737
OCLC Number: 427541739
Description: ix, 154 p. : ill. ; 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 ... [et al.].

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...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/427541739>
library:oclcnum"427541739"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/427541739>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:contributor
schema:copyrightYear"2009"
schema:datePublished"2009"
schema:description"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."@en
schema:description""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: for random power series, the independence of coefficients is key; for determinantal processes, the number of points in a domain is a sum of independent indicators, and this yields a satisfying explanation of the central limit theorem (CLT) for this point count. Another unifying theme of the book is invariance of considered point processes under natural transformation groups. The book strives for balance between general theory and concrete examples. On the one hand, it presents a primer on modern techniques on the interface of probability and analysis. On the other hand, a wealth of determinantal processes of intrinsic interest are analyzed; these arise from random spanning trees and eigenvalues of random matrices, as well as from special power series with determinantal zeros. The material in the book formed the basis of a graduate course given at the IAS-Park City Summer School in 2007; the only background knowledge assumed can be acquired in first-year graduate courses in analysis and probability."--Publisher's website."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/314996717>
schema:inLanguage"en"
schema:name"Zeros of Gaussian analytic functions and determinantal point processes"@en
schema:numberOfPages"154"
schema:publisher
schema:url
schema:workExample

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.