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Geometrical characteristics of Gaussian sea waves

Part of: Stochastic processes Special processes

Published online by Cambridge University Press:  14 July 2016

Jean-Marc Azaïs ,
José R. León  and
Joaquín Ortega
Jean-Marc Azaïs*
Affiliation:
Université Paul Sabatier
José R. León*
Affiliation:
Universidad Central de Venezuela
Joaquín Ortega*
Affiliation:
CIMAT and Universidad Central de Venezuela
*
∗ Postal address: Laboratoire de Statistique et Probabilités, Université Paul Sabatier, 118, Route de Narbonne, 31062 Toulouse cedex, France. Email address: azais@cict.fr
∗∗ Postal address: Facultad de Ciencias, Universidad Central de Venezuela, Caracas 1020, Venezuela.
∗∗ Postal address: Facultad de Ciencias, Universidad Central de Venezuela, Caracas 1020, Venezuela.
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Abstract

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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.

Keywords

Gaussian processvelocity level curvecrestcentral limit theorem

MSC classification

Primary: 60G15: Gaussian processes
Secondary: 60K40: Other physical applications of random processes

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 42 , Issue 2 , June 2005 , pp. 407 - 425
Copyright
© Applied Probability Trust 2005 

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