2 papers
math.PR2025
Local repulsion between zeros and critical points of the Gaussian Entire Function
Antti Haimi, Lukas Odelius, José Luis Romero
We study the zeros and critical points of different indices of the standard Gaussian entire function on the complex plane (whose zero set is stationary). We provide asymptotics for…
math.PR2024
Hyperuniformity and non-hyperuniformity of zeros of Gaussian Weyl-Heisenberg Functions
Naomi Feldheim, Antti Haimi, Günther Koliander +1
We study zero sets of twisted stationary Gaussian random functions on the complex plane, i.e., Gaussian random functions that are stochastically invariant under the action of the W…