27 citations · 62 across the 10 of their papers we have counts for
4 papers · 1 filter
Sampling properties of the zeroes of the Gaussian entire function
Jeremiah Buckley, Felipe Marceca, Joaquín Singer
We study sampling properties of the zero set of the Gaussian entire function on Fock spaces. Firstly, we relax Seip and Wallstén's density and separation conditions for sampling se…
Gaussian complex zeroes are not always normal: limit theorems on the disc
Jeremiah Buckley, Alon Nishry
We study the zeroes of a family of random holomorphic functions on the unit disc, distinguished by their invariance with respect to the hyperbolic geometry. Our main finding is a t…
An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process
Eran Assaf, Jeremiah Buckley, Naomi Feldheim
We study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under mild mixing conditions. This allows…
The winding of stationary Gaussian processes
Jeremiah Buckley, Naomi Feldheim
This paper studies the winding of a continuously differentiable Gaussian stationary process in the interval . We give formulae for the mean and t…