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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).

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