Spectra of stationary processes on Z

Alexander Borichev; Mikhail Sodin; Benjamin Weiss

doi:10.1007/978-3-319-59078-3_7

Spectra of stationary processes on Z

Alexander Borichev^*
, Mikhail Sodin
, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

6 Scopus citations

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.

Original language	English
Title of host publication	Operator Theory
Subtitle of host publication	Advances and Applications
Publisher	Springer International Publishing
Pages	141-157
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-319-59078-3_7
State	Published - 2018

Publication series

Name	Operator Theory: Advances and Applications
Volume	261
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.

Keywords

Carleman spectrum
Finitely valued stationary process
Spectral measure
Spectral set
Spectrum

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10.1007/978-3-319-59078-3_7

Cite this

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KW - Carleman spectrum

KW - Finitely valued stationary process

KW - Spectral measure

KW - Spectral set

KW - Spectrum

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Spectra of stationary processes on Z

Abstract

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