Proves interlacing-like zero pair correlations (repulsion at k=1, attraction at k=2, none for k>=3) and a functional CLT for averaged fields of iterated Gaussian entire functions, confirming signal-processing conjectures.
Gr¨ ochenig,Foundations of Time-Frequency Analysis
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Zero correlations and averaged fields of orthonormal Gaussian functions
Proves interlacing-like zero pair correlations (repulsion at k=1, attraction at k=2, none for k>=3) and a functional CLT for averaged fields of iterated Gaussian entire functions, confirming signal-processing conjectures.