Real almost zeros of random polynomials with complex coefficients

K. Farahmand, A. Grigorash and P. Flood

International Journal of Stochastic Analysis, 2005, vol. 2005, 1-15

Abstract:

We present a simple formula for the expected number of times that a complex-valued Gaussian stochastic process has a zero imaginary part and the absolute value of its real part is bounded by a constant value M . We show that only some mild conditions on the stochastic process are needed for our formula to remain valid. We further apply this formula to a random algebraic polynomial with complex coefficients. We show how the above expected value in the case of random algebraic polynomials varies for different behaviour of M .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:281505

DOI: 10.1155/JAMSA.2005.195

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