B. Shiffman

activity

19982008

most citedEquilibrium distribution of zeros of random polynomials

12 citations · 27 across the 10 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

math.CV2006★ 5 cited

Number variance of random zeros on complex manifolds

Bernard Shiffman, Steve Zelditch

We show that the variance of the number of simultaneous zeros of $m$ i.i.d. Gaussian random polynomials of degree $N$ in an open set $U \subset C^{m}$ with smooth boundary is asympto…

math.CV2006

Zeros of random polynomials on C^m

Thomas Bloom, Bernard Shiffman

For a regular compact set $K$ in $C^{m}$ and a measure $μ$ on $K$ satisfying the Bernstein-Markov inequality, we consider the ensemble $P_{N}$ of polynomials of degree $N$ , endowed wit…

math.CV2006

Number variance of random zeros

Bernard Shiffman, Steve Zelditch

The main results of this article are asymptotic formulas for the variance of the number of zeros of a Gaussian random polynomial of degree $N$ in an open set $U \subset C$ as the d…