On the average number of level crossings of certain Gaussian random polynomials

DOI10.1016/j.na.2005.02.003zbMath1159.60326OpenAlexW2568463105MaRDI QIDQ999554

Soudabeh Shemehsavar, Saeid Rezakhah

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.003

zbMATH Keywords

Brownian motionrandom algebraic polynomiallevel crossingsnumber of real zerosexpected density

Mathematics Subject Classification ID

Brownian motion (60J65) Stochastic processes (60G99)

Related Items (5)

New features on real zeros of random polynomials ⋮ On real zeros of self-similar random Gaussian polynomials with decreasing variances: apparition of a phase transition ⋮ Expected number of real zeros of Gaussian self-reciprocal random algebraic polynomials ⋮ Expected Number of Slope Crossings of Certain Gaussian Random Polynomials ⋮ Average number of real zeros of random algebraic polynomials defined by the increments of fractional Brownian motion

Cites Work

• On the real roots of the random algebraic equation
• Real Zeros of Random Algebraic Polynomials
• An Asymptotic Expansion for the Expected Number of Real Zeros of a Random Polynomial
• How many zeros of a random polynomial are real?
• On the Expected Number of Real Zeros of Random Polynomials I. Coefficients with Zero Means
• On the Expected Number of Real Zeros of Certain Gaussian Random Polynomials
• Real Zeros of Random Polynomials. II
• Real Zeros of Random Polynomials
• On the average number of real roots of a random algebraic equation
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