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Expected density of complex roots of random polynomials

✍ Scribed by K. Farahmand; A. Grigorash


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
307 KB
Volume
47
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Expected density of complex zeros of ran
✍ K. Farahmand; A. Grigorash πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 335 KB

There are many known asymptotic estimates for the expected number of real zeroe of polynomial &(z) = rn coeh CL + ~2 coeh 2(z + . . . +q,,ccehn<z, where qj, j = 1,2,3 ,..., n ie a sequence of independent random variables. This paper provides the asymptotic formula for the expected density of complex

A note on the complex roots of complex r
✍ A. Ramponi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 96 KB

## By using the technique proposed in ), Trans. Amer. Math. Soc. 349, 2427 -2441] , we derive an exact formula for the mean number of complex roots of a complex random polynomial. The explicit evaluation of the average density is obtained in the case of multivariate normal coe cients and its co

Complex Roots of a Random Algebraic Poly
✍ K. Farahmand πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 160 KB

This paper, for any constant K, provides an exact formula for the average density of the distribution of the complex roots of equation q z q z 2 0 1 2 n y 1 Γ„ 4 ny1 Γ„ 4 ny1 qΠΈΠΈΠΈ q z s K where s a q ib and a and b are sequences of independent identically and normally distributed random variables and