Zeros of Gaussian Weyl–Heisenberg Functions and Hyperuniformity of Charge
Zeros of Gaussian Weyl–Heisenberg Functions and Hyperuniformity of Charge
We study Gaussian random functions on the complex plane whose stochastics are invariant under the Weyl-Heisenberg group (twisted stationarity). The theory is modeled on translation invariant Gaussian entire functions, but allows for non-analytic examples, in which case winding numbers can be either positive or negative. We calculate the first intensity …