D. Zaporozhets

activity

20112026

most citedAsymptotic distribution of complex zeros of random analytic functions

78 citations · 138 across the 27 of their papers we have counts for

collaborators

Showing 2012 · math.PRShow all

2 papers · 2 filters

math.PR2012★ 1 cited

Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields

Zakhar Kabluchko, Dmitry Zaporozhets

Consider a $d \times d$ matrix $M$ whose rows are independent centered non-degenerate Gaussian vectors $ξ_{1}, ..., ξ_{d}$ with covariance matrices $Σ_{1}, ..., Σ_{d}$ . Denote by $\mathcal{E}_i…

math.PR2012★ 19 cited

Universality for zeros of random analytic functions

Zakhar Kabluchko, Dmitry Zaporozhets

Let $ξ_{0}, ξ_{1}, ...$ be independent identically distributed (i.i.d.) random variables such that $\E \log (1+|ξ_0|)<\infty$. We consider random analytic functions of the form $$ G_n(z)…