A second moment bound for critical points of planar Gaussian fields in shrinking height windows-Reference-Cited by-同舟云学术

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A second moment bound for critical points of planar Gaussian fields in shrinking height windows

Published:2020-05 Issue: Volume:160 Page:108698
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Muirhead Stephen

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference16 articles.

1. Necessary and sufficient conditions for the finiteness of the second moment of the measure of level sets;Azaïs,2019

2. Level Sets and Extrema of Random Processes and Fields;Azaïs,2009

3. Two point function for critical points of a random plane wave;Beliaev;Int. Math. Res. Not.,2017

4. Fluctuations of the number of excursion sets of planar Gaussian fields;Beliaev,2019

5. A covariance formula for topological events of smooth Gaussian fields;Beliaev,2018

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Local repulsion of planar Gaussian critical points;Stochastic Processes and their Applications;2023-12

2. Fluctuations of the number of excursion sets of planar Gaussian fields;Probability and Mathematical Physics;2022-05-11

3. On the expected Betti numbers of the nodal set of random fields;Analysis & PDE;2021-09-07

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