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arXiv · 1911.04935

Predictive Sets

Nishant Chandgotia·Benjamin Weiss
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Abstract

A set $P\subset \mathbb N$ is called predictive if for any zero entropy finite-valued stationary process $(X_i)_{i\in \mathbb Z}$, $X_0$ is measurable with respect to $(X_i)_{i\in P}$. We know that $\mathbb N$ 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.

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Nishant Chandgotia, Benjamin Weiss. 2019-11-12. Predictive Sets. https://arxiv.org/abs/1911.04935

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