3 papers
math.NA2026
PhaseJumps: fast computation of zeros from planar grid samples
Antti Haimi, Günther Koliander, José Luis Romero
We consider complex-valued functions on the complex plane and the task of computing their zeros from samples taken along a finite grid. We introduce PhaseJumps, an algorithm based…
math.PR2026
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…
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…