Session S13 - Harmonic Analysis, Fractal Geometry, and Applications

Friday, July 16, 11:00 ~ 11:30 UTC-3

Zeros of Gaussian Weyl-Heisenberg functions

José Luis Romero

University of Vienna, Austria   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

GWHF are Gaussian random functions on the plane whose stochastics are invariant under the Weyl-Heisenberg group (twisted stationarity). Main examples include the short-time Fourier transform (STFT) of complex white noise, and higher order derivatives of Gaussian entire functions. I will present basic statistics for zero sets of GWHF and applications to the STFT.

Joint work with Antti Haimi (Austrian Academy of Sciences) and Guenther Koliander (Austrian Academy of Sciences).

View abstract PDF