5 citations · 9 across the 5 of their papers we have counts for
5 papers
Estimates on the Probability of Outliers for Real Random Bargmann-Fock functions
Scott Zrebiec
In this paper we consider the distribution of the zeros of a real random Bargmann-Fock function of one or more variables. For these random functions we prove estimates for two type…
Overcrowding and hole probabilities for random zeros on complex manifolds
Bernard Shiffman, Steve Zelditch, Scott Zrebiec
We give asymptotic large deviations estimates for the volume inside a domain U of the zero set of a random polynomial of degree N, or more generally, of a holomorphic section of th…
The order of the decay of the hole probability for Gaussian random SU(m+1) polynomials
Scott Zrebiec
We show that for Gaussian random SU(m+1) polynomials of a large degree N the probability that there are no zeros in the disk of radius r is less than , and is…
The hole probability for Gaussian random SU(2) polynomials
Scott Zrebiec
We show that for Gaussian random SU(2)polynomials of a large degree the probability that there are no zeros in the disk of radius is less than , and is al…
The zeros of Gaussian random holomorphic functions on $\C^n$, and hole probability
Scott Zrebiec
We consider a class of Gaussian random holomorphic functions, whose expected zero set is uniformly distributed over $\C^n $. This class is unique (up to multiplication by a non zer…