Hendrik Flasche

activity

20162018

most citedExpected number of real zeros of random Taylor Series

6 citations · 6 across the 1 of their papers we have counts for

collaborators

3 papers

math.PR2018

Real zeros of random analytic functions associated with geometries of constant curvature

Hendrik Flasche, Zakhar Kabluchko

Let $ξ_{0}, ξ_{1}, \dots$ be i.i.d. random variables with zero mean and unit variance. We study the following four families of random analytic functions: $\sum_{k=0}^n \sqrt{\binom nk}…

math.PR2017★ 6 cited

Expected number of real zeros of random Taylor Series

Hendrik Flasche, Zakhar Kabluchko

Let $ξ_{0}, ξ_{1}, \dots$ be i.i.d. random variables with zero mean and unit variance. Consider a random Taylor series of the form $f (z) = \sum_{k = 0}^{\infty} ξ_{k} c_{k} z^{k}$ , where $c_0,c_1,\…

math.PR2016

Expected number of real roots of random trigonometric polynomials

Hendrik Flasche

We investigate the asymptotics of the expected number of real roots of random trigonometric polynomials $$ X_n(t)=u+\frac{1}{\sqrt{n}}\sum_{k=1}^n (A_k\cos(kt)+B_k\sin(kt)), \quad…