Mean Number of Real Zeros of a Random Trigonometric Polynomial

DOI10.2307/2048424zbMath0722.60047OpenAlexW4253706054MaRDI QIDQ3209942

J. Ernest jun. Wilkins

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048424

zbMATH Keywords

asymptotic expansionrandom trigonometric polynomialaverage number of real zeros

Mathematics Subject Classification ID

Stochastic processes (60G99)

Related Items (15)

Real zeros of random cosine polynomials with palindromic blocks of coefficients ⋮ CLT for the zeros of classical random trigonometric polynomials ⋮ Expected number of real zeros of random hyperbolic polynomial ⋮ Covariance of the number of real zeros of a random trigonometric polynomial ⋮ Expected number of real roots of random trigonometric polynomials ⋮ Asymptotics of the variance of the number of real roots of random trigonometric polynomials ⋮ Real zeros of random trigonometric polynomials with $\ell$-periodic coefficients ⋮ Real zeros of three different cases of polynomials with random coefficients ⋮ REAL ZEROS OF ALGEBRAIC POLYNOMIALS WITH STABLE RANDOM COEFFICIENTS ⋮ Level Crossings of a Random Polynomial with Hyperbolic Elements ⋮ The expected number of level crossings of random trigonometric polynomials. ⋮ Universality of the nodal length of bivariate random trigonometric polynomials ⋮ On expected number of real zeros of a random hyperbolic polynomial with dependent coefficients ⋮ Algebraic polynomials with random coefficients with binomial and geometric progressions ⋮ Roots of random functions: A framework for local universality

Cites Work

• An improved lower bound for the expected number of real zeros of a random algebraic polynomials
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