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Gaussian Hilbert Spaces
Abstract
This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this book is on the mathematical structures common to all these applications. This will be an excellent resource for all researchers whose work involves random variables.
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Citations
Cited by
Zeros of Gaussian Analytic Functions and Determinantal Point Processes
Hough, J., Krishnapur, M., Peres, Y., & Virág, B. (2009) · University Lecture Series · doi:10.1090/ulect/051 · Cited by 496
Fluctuations in random complex zeroes: Asymptotic normality revisited
Nazarov, F., & Sodin, M. (2011) · International Mathematics Research Notices · doi:10.1093/imrn/rnr007 · Cited by 55
The phase transition for planar Gaussian percolation models without FKG
Muirhead, S., Rivera, A., Vanneuville, H., & Köhler-Schindler, L. (2020) · arXiv · doi:10.48550/arxiv.2010.11770 · Cited by 21
Hardness Results for Agnostically Learning Low-Degree Polynomial Threshold Functions
Diakonikolas, I., O'Donnell, R., Servedio, R. A., & Wu, Y. (2011) · Proceedings of the Twenty-Second Annual ACM-SIAM Symposium on Discrete Algorithms · doi:10.1137/1.9781611973082.123 · Cited by 6
An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process
Assaf, E., Buckley, J., & Feldheim, N. (2021) · arXiv · doi:10.48550/arxiv.2101.04052 · Cited by 3
Metadata
- Authors
- Janson, S.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1997-06-12
- OpenAlex
- W1483560004
- Cited by
- 970
- References
- 0
- FWCI
- 3.03
- Type
- book
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
