On algebraic polynomials with random coefficients

DOI10.1090/S0002-9939-01-05836-1zbMath0969.60067OpenAlexW1723379056MaRDI QIDQ2716120

Kambiz Farahmand

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05836-1

zbMATH Keywords

Kac-Rice formulanumber of real rootsreal zerosrandom algebraic polynomialsnumber of maxima

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic analysis (60H99)

Related Items (1)

Algebraic polynomials with non-identical random coefficients

Cites Work

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• Local maxima of a random trigonometric polynomial
• The expected number of local maxima of a random algebraic polynomial
• An Asymptotic Expansion for the Expected Number of Real Zeros of a Random Polynomial
• On random algebraic polynomials
• How many zeros of a random polynomial are real?
• Sharp crossings of a non-stationary stochastic process and its application to random polynomials
• On the Number of Real Roots of a Random Algebraic Equation

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