On the Expected Number of Level Crossings of Random Trigonometric Polynomials

DOI10.1080/07362990500269591zbMath1078.60040OpenAlexW2069912063MaRDI QIDQ5707904

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Publication date: 25 November 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990500269591

zbMATH Keywords

Kac-Rice formularandom polynomialsnumber of real zerosJensen's theorem

Mathematics Subject Classification ID

Stochastic processes (60G99) Stochastic analysis (60H99)

Cites Work

• Unnamed Item
• On the average number of level crossings of a random trigonometric polynomial
• On the number of real zeros of a random trigonometric polynomial: coefficients with non–zero infinite mean
• The Number of Real Zeros of a Random Trigonometric Polynomial
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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