Spectra of stationary processes on Z

2017/01/12 by Borichev, Alexander, Sodin, Mikhail, Weiss, Benjamin
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1701.03407

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 raise several related questions.

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