Journal title
Electronic Communications in Probability
DOI
10.1214/20-ECP362
Volume
25
Last updated
2024-04-08T09:35:49.797+01:00
Abstract
We study the behaviour of the point process of critical points of isotropic stationary Gaussian fields. We compute the main term in the asymptotic expansion of the two-point correlation function near the diagonal. Our main result implies that for a ‘generic’ field the critical points neither repel nor attract each other. Our analysis also allows to study how the short-range behaviour of critical points depends on their index.
Symplectic ID
1145540
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Publication type
Journal Article
Publication date
12 Dec 2020