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Level Sets of Random Fields and Applications : Specular Points and Wave Crests
Joint Authors
Flores, Esteban
León R, José R.
Source
International Journal of Stochastic Analysis
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-20
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We apply Rice's multidimensional formulas, in a mathematically rigorous way, to several problems which appear in random sea modeling.
As a first example, the probability density function of the velocity of the specular points is obtained in one or two dimensions as well as the expectation of the number of specular points in two dimensions.
We also consider, based on a multidimensional Rice formula, a curvilinear integral with respect to the level curve.
It follows that its expected value allows defining the Palm distribution of the angle of the normal of the curve that defines the waves crest.
Finally, we give a new proof of a general multidimensional Rice formula, valid for all levels, for a stationary and smooth enough random fields X:ℝd→ℝj(d>j).
American Psychological Association (APA)
Flores, Esteban& León R, José R.. 2010. Level Sets of Random Fields and Applications : Specular Points and Wave Crests. International Journal of Stochastic Analysis،Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-485818
Modern Language Association (MLA)
Flores, Esteban& León R, José R.. Level Sets of Random Fields and Applications : Specular Points and Wave Crests. International Journal of Stochastic Analysis No. 2010 (2010), pp.1-22.
https://search.emarefa.net/detail/BIM-485818
American Medical Association (AMA)
Flores, Esteban& León R, José R.. Level Sets of Random Fields and Applications : Specular Points and Wave Crests. International Journal of Stochastic Analysis. 2010. Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-485818
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485818