Geometrical characteristics of Gaussian sea waves

Jean Marc Azaïs; José R. León; Joaquín Ortega

doi:10.1239/jap/1118777179

Geometrical characteristics of Gaussian sea waves

Jean Marc Azaïs, José R. León, Joaquín Ortega

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

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. © Applied Probability Trust 2005.

Original language	English (US)
Journal	Journal of Applied Probability
Volume	42
Issue number	2
DOIs	https://doi.org/10.1239/jap/1118777179
State	Published - Jun 1 2005
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2019-11-20

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title = "Geometrical characteristics of Gaussian sea waves",

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. {\textcopyright} Applied Probability Trust 2005.",

author = "Aza{\"i}s, {Jean Marc} and Le{\'o}n, {Jos{\'e} R.} and Joaqu{\'i}n Ortega",

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AU - Azaïs, Jean Marc

AU - León, José R.

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PY - 2005/6/1

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N2 - 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. © Applied Probability Trust 2005.

AB - 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. © Applied Probability Trust 2005.

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JO - Journal of Applied Probability

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Geometrical characteristics of Gaussian sea waves

Abstract

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