Zeros of Gaussian Analytic Functions and Determinantal Point Processes
Abstract
Key words and phrases. Gaussian analytic functions, zeros, determinantal processes, point processes, allocation, random matricesContents Preface vii
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Cites
College Admissions and the Stability of Marriage
Gale, D., & Shapley, L. S. (1962) · The American Mathematical Monthly · doi:10.1080/00029890.1962.11989827 · Cited by 5,985 · see citing works
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Diophantine Gaussian excursions and random walks
Lachièze-Rey, R. (2021) · arXiv · doi:10.48550/arxiv.2104.07290 · Cited by 1 · see citing works
“In higher dimensions, zeros of Gaussian entire functions [14, 25] and nodal sets of high enery Gaussian harmonics on a compact manifold [19, 36, 22] (and their Euclidean counterpart the Random Wave Model [24]) have attracted a lot of attention from both physicists and mathematicians.”
Background
- Authors
- Hough, J., Krishnapur, M., Peres, Y., & Virág, B.
- Affiliations
- Indian Institute of Science Bangalore (IN)
- Microsoft (United States) (US)
- University of Toronto (CA)
- Venue
- University Lecture Series
- Publisher
- American Mathematical Society
- Published
- 2009-10-13
- ISSN
- 1047-3998 (ISSN-L)
- 2376-919X
- OpenAlex
- W577565880
- Cited by
- 496
- References
- 1
- Citations by year
- 2026: 11 · 2025: 28 · 2024: 24 · 2023: 26 · 2022: 34 · 2021: 43 · 2020: 31 · 2019: 29 · 2018: 69 · 2017: 29 · 2016: 38 · 2015: 35 · 2014: 39 · 2013: 24 · 2012: 11
- FWCI
- 1.98
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- University lecture series (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Random Matrices and Applications
- Physical Sciences › Mathematics › Applied Mathematics › Holomorphic and Operator Theory
- Physical Sciences › Mathematics › Applied Mathematics › Point processes and geometric inequalities
- Keywords
- Gaussian analytic functions, zero, determinantal point processes, point processes, allocation, random matrices
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