Spectra of stationary processes on Z
Probability
2017-01-13 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1701.03407,
title = {Spectra of stationary processes on Z},
author = {Alexander Borichev and Mikhail Sodin and Benjamin Weiss},
journal= {arXiv preprint arXiv:1701.03407},
year = {2017}
}