D. Zaporozhets

2 citations · 3 across the 3 of their papers we have counts for

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math.PR2011★ 1 cited

On the Distribution of Complex Roots of Random Polynomials with Heavy-tailed Coefficients

Friedrich Götze, Dmitry Zaporozhets

Consider a random polynomial $G_{n} (z) = ξ_{n} z^{n} + ... + ξ_{1} z + ξ_{0}$ with i.i.d. complex-valued coefficients. Suppose that the distribution of $lo g (1 + lo g (1 + ∣ ξ_{0} ∣))$ has a slowly varying tai…

math.PR2011

On distribution of zeros of random polynomials in complex plane

Ildar Ibragimov, Dmitry Zaporozhets

Let $G_{n} (z) = ξ_{0} + ξ_{1} z + ... + ξ_{n} z^{n}$ be a random polynomial with i.i.d. coefficients (real or complex). We show that the arguments of the roots of $G_{n} (z)$ are uniformly distributed i…

math.PR2011★ 2 cited

On random surface area

Ildar Ibragimov, Dmitry Zaporozhets

Consider a random smooth Gaussian field $G (x) : F \to R$ , where $F$ is a compact in $R^{d}$ . We derive a formula for average area of a surface generated by the equation…