On the average number of real zeros of a class of random algebraic curves

DOI10.2140/pjm.1979.81.207zbMath0411.60066OpenAlexW2051144902MaRDI QIDQ1259369

M. Sambandham

Publication date: 1979

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1979.81.207

zbMATH Keywords

number of real zerosrandom algebraic curves

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Stochastic analysis (60H99)

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Crossings of a random trigonometric polynomial ⋮ The real zeros of a random algebraic polynomial with dependent coefficients ⋮ The growth of the expected number of real zeros of a random polynomial with dependent coefficients ⋮ The Expected Number of Real Zeros of Algebraic Polynomials with Dependent and Non-Identical Random Coefficients ⋮ Complex zeros of trigonometric polynomials with standard normal random coefficients ⋮ On the expected number of internal equilibria in random evolutionary games with correlated payoff matrix ⋮ Roots of random polynomials with coefficients of polynomial growth ⋮ Real roots of random polynomials with coefficients of polynomial growth: a comparison principle and applications ⋮ Algebraic polynomials with non-identical random coefficients ⋮ On the variance of the number of real roots of random algebraic polynomials

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