Predictive sets

Nishant Chandgotia; Benjamin Weiss

doi:10.1142/s0219493721400062

Predictive sets

Nishant Chandgotia, Benjamin Weiss^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

A set P ⊂ ℕ is called predictive if for any zero entropy finite-valued stationary process (Xi)i ∈, X0 is measurable with respect to (X-i)i P. We know that ℕ is a predictive set. In this paper, we give sufficient conditions and necessary ones for a set to be predictive. We also discuss linear predictivity, predictivity among Gaussian processes and relate these to Riesz sets which arise in harmonic analysis.

Original language	English
Article number	2140006
Journal	Stochastics and Dynamics
Volume	21
Issue number	3
DOIs	https://doi.org/10.1142/s0219493721400062
State	Published - May 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Keywords

Gaussian processes
Riesz sets
SIPs
Zero entropy processes
predictive sets
return-times sets

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KW - Riesz sets

KW - SIPs

KW - Zero entropy processes

KW - predictive sets

KW - return-times sets

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Predictive sets

Abstract

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Keywords

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