A note on the omega-chaos

Fuente: arXiv
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Main Author: Kawaguchi, Noriaki
Format: Preprint
Published: 2026
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_version_ 1866917327025471488
author Kawaguchi, Noriaki
author_facet Kawaguchi, Noriaki
contents For any continuous self-map of a compact metric space, we provide sufficient conditions under which the infinite direct product of the map is $ω$-chaotic. We also apply the result to obtain some examples of unusual $ω$-chaotic maps.
format Preprint
id arxiv_https___arxiv_org_abs_2601_08479
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A note on the omega-chaos
Kawaguchi, Noriaki
Dynamical Systems
37B05, 37D45
For any continuous self-map of a compact metric space, we provide sufficient conditions under which the infinite direct product of the map is $ω$-chaotic. We also apply the result to obtain some examples of unusual $ω$-chaotic maps.
title A note on the omega-chaos
topic Dynamical Systems
37B05, 37D45
url https://arxiv.org/abs/2601.08479