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arXiv · 1701.03407

Spectra of stationary processes on Z

Alexander Borichev·Mikhail Sodin·Benjamin Weiss
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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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Alexander Borichev, Mikhail Sodin, Benjamin Weiss. 2017-01-12. Spectra of stationary processes on Z. https://arxiv.org/abs/1701.03407

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