Geometrical characteristics of Gaussian sea waves

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

Cited by 5 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. On the Non-Gaussianity of Sea Surface Elevations;Journal of Marine Science and Engineering;2022-09-15

2. Mean number and correlation function of critical points of isotropic Gaussian fields and some results on GOE random matrices;Stochastic Processes and their Applications;2022-08

3. On the Non-Gaussianity of the Height of Sea Waves;Journal of Marine Science and Engineering;2021-12-17

4. Wave intensities and slopes in Lagrangian seas;Advances in Applied Probability;2007-12

5. Slepian models for the stochastic shape of individual Lagrange sea waves;Advances in Applied Probability;2006-06

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