Stock image for illustration purposes only - book cover, edition or condition may vary.
Zeros of Gaussian Analytic Functions and Determinantal Point Processes (University Lecture Series)
J. Ben Hough, Manjunath Krishnapur, Yuval Peres, And Balint Virag
€ 80.49
FREE Delivery in Ireland
Description for Zeros of Gaussian Analytic Functions and Determinantal Point Processes (University Lecture Series)
Paperback. 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 a primer on modern techniques on the interface of probability and analysis. Series: University Lecture Series. Num Pages: 154 pages, Illustrations. BIC Classification: PBKF. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 262 x 179 x 13. Weight in Grams: 312.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
American Mathematical Society
Condition
New
Series
University Lecture Series
Number of Pages
154
Place of Publication
Providence, United States
ISBN
9780821843734
SKU
V9780821843734
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
Reviews for Zeros of Gaussian Analytic Functions and Determinantal Point Processes (University Lecture Series)