Minimal subsystems of given mean dimension in Bernstein spaces
Dynamical Systems
2022-04-11 v1
Abstract
In this paper, we study the shift on the space of uniformly bounded continuous functions band-limited in a given compact interval with the standard topology of tempered distributions. We give a constructive proof of the existence of minimal subsystems with any given mean dimension strictly less than twice its band-width. A version of real-valued function spaces is considered as well.
Keywords
Cite
@article{arxiv.2204.03902,
title = {Minimal subsystems of given mean dimension in Bernstein spaces},
author = {Jianjie Zhao},
journal= {arXiv preprint arXiv:2204.03902},
year = {2022}
}
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