A note on odometers and shadowing
Dynamical Systems
2025-02-12 v1
Abstract
For a continuous self-map of a compact metric space, we provide a sufficient condition for the orbit of a point to converge to a periodic orbit or an odometer. We show that if a continuous self-map of a compact metric space has the shadowing property, then the set of points whose orbits converge to periodic orbits or odometers is dense.
Cite
@article{arxiv.2502.07334,
title = {A note on odometers and shadowing},
author = {Noriaki Kawaguchi},
journal= {arXiv preprint arXiv:2502.07334},
year = {2025}
}
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11 pages