3 papers
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.PR2026
Persistence and entropic repulsion of stationary Gaussian fields with spectral singularity at the origin
Naomi Feldheim, Ohad Feldheim, Stephen Muirhead
We compute the exact log-asymptotics of the persistence probability, and determine the entropic repulsion profile conditioned on persistence, for general -dimensional stationary…
math.PR2025
Persistence and Ball Exponents for Gaussian Stationary Processes
Naomi Feldheim, Ohad Feldheim, Sumit Mukherjee
Consider a real Gaussian stationary process , indexed on either or and admitting a spectral measure . We study $θ_Ï^\ell=-\lim\limits_{T\to\in…