27 citations · 62 across the 10 of their papers we have counts for
13 papers
Rota universality of shifts on trees
Jeremiah Buckley, Daniel Seco
We consider shift operators on infinite directed trees. We prove that under very mild assumptions on the structure of the tree, the resulting operator is universal (in the sense of…
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…
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…
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…
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…
On the number of nodal domains of toral eigenfunctions
Jeremiah Buckley, Igor Wigman
We study the number of nodal domains of toral Laplace eigenfunctions. Following Nazarov-Sodin's results for random fields and Bourgain's de-randomisation procedure we establish a p…
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…