The expected number of local maxima of a random algebraic polynomial

DOI10.1023/A:1022618801587zbMath0897.60055OpenAlexW2026810749MaRDI QIDQ1374854

P. Hannigan, Kambiz Farahmand

Publication date: 11 October 1998

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022618801587

zbMATH Keywords

Gaussian processcovariance matrixlocal maximarandom algebraic polynomialKac-Rice formulanormal densitynumber of real roots

Mathematics Subject Classification ID

Stochastic processes (60G99)

Related Items (4)

Large level crossings of random polynomials ⋮ On algebraic polynomials with random coefficients ⋮ Extrema of random algebraic polynomials with non-identically distributed normal coefficients ⋮ Algebraic polynomials with non-identical random coefficients

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