Location: HILL 705
Date & time: Thursday, 12 October 2017 at 12:00PM - 1:00PM
Abstract: We will discuss a somewhat striking spectral property of finitely valued stationary processes on Z that says that if the spectral measure of the process has a gap then the process is periodic. We will give some extensions of this result and discuss its relation to the asymptotic behavior of random Taylor series with correlated coefficients.
The talk will be based on joint works with Alexander Borichev, Alon Nishry and Benjamin Weiss, arXiv:1409.2736 and arXiv:1701.03407.