Rice formulae and Gaussian waves

DOI10.3150/10-BEJ265zbMath1284.60083arXiv1102.0389MaRDI QIDQ637096

Jean-Marc Azaïs, Mario Wschebor, José Rafael León

Publication date: 2 September 2011

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0389

zbMATH Keywords

dislocations of wavefrontsrandom seasRice formulaespecular points

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Signal detection and filtering (aspects of stochastic processes) (60G35) Moment problems (44A60)

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Uses Software

• WAFO

Cites Work

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• A central limit theorem for the number of zeros of a stationary Gaussian process
• The central limit theorem for dependent random variables
• Phase singularities in isotropic random waves
• Level Sets and Extrema of Random Processes and Fields
• Central limit theorem for wave-functionals of Gaussian processes
• Geometrical characteristics of Gaussian sea waves

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