Geometrical characteristics of Gaussian sea waves-Reference-Cited by-同舟云学术

Geometrical characteristics of Gaussian sea waves

Published:2005-06 Issue:2 Volume:42 Page:407-425
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Azaïs Jean-Marc,León José R.,Ortega Joaquín

Abstract

In this work, we study some geometrical properties of a stationary Gaussian field modeling the sea surface, using the energy spectrum. We consider the length of a crest and the mean speed of contours, which can be expressed as integrals over level sets. We also give central limit theorems for some of these quantities, using chaos expansions.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference19 articles.

1. A Note on the Absence of Tangencies in Gaussian Sample Paths

2. A general rice formula, palm measures, and horizontal-window conditioning for random fields

3. Affine Processes: A Test of Isotropy Based on Level Sets

4. Surfaces Aléatoires

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