27 citations · 62 across the 10 of their papers we have counts for
7 papers · 1 filter
Fluctuations of the increment of the argument for the Gaussian entire function
Jeremiah Buckley, Mikhail Sodin
The Gaussian entire function is a random entire function, characterised by a certain invariance with respect to isometries of the plane. We study the fluctuations of the increment…
Hole probability for zeroes of Gaussian Taylor series with finite radii of convergence
Jeremiah Buckley, Alon Nishry, Ron Peled +1
We study a family of random Taylor series with radius of convergence almost surely and independent identically distributed complex Gaussian…
Gaussian Analytic functions in the unit ball
Jeremiah Buckley, Xavier Massaneda, Bharti Pridhnani
We study some properties of hyperbolic Gaussian analytic functions of intensity in the unit ball of . First we deal with the asymptotics of fluctuations of linear…
Fluctuations in the zero set of the hyperbolic Gaussian analytic function
Jeremiah Buckley
The zero set of the hyperbolic Gaussian analytic function is a random point process in the unit disc whose distribution is invariant under automorphisms of the disc. We study the v…
Inhomogenous random zero sets
Jeremiah Buckley, Xavier Massaneda, Joaquim Ortega-Cerdà
We construct random point processes in the complex plane that are asymptotically close to a given doubling measure. The processes we construct are the zero sets of random entire fu…
Gap probabilities for the cardinal sine
Jorge Antezana, Jeremiah Buckley, Jordi Marzo +1
We study the zero set of random analytic functions generated by a sum of the cardinal sine functions that form an orthogonal basis for the Paley-Wiener space. As a model case, we c…
Traces of functions in Fock spaces on lattices of critical density
Jeremiah Buckley, Xavier Massaneda, Joaquim Ortega-Cerdà
Following a scheme of Levin we describe the values that functions in Fock spaces take on lattices of critical density in terms of both the size of the values and a cancelation cond…