Quantitative orbit equivalence for $\mathbb{Z}$-odometers
Dynamical Systems
2026-04-13 v2
Abstract
We prove that any two -odometers are sub--orbit equivalent, greatly strengthening previous results and giving a definitive picture of quantitative orbit equivalence for these systems.
Cite
@article{arxiv.2510.16749,
title = {Quantitative orbit equivalence for $\mathbb{Z}$-odometers},
author = {Petr Naryshkin and Spyridon Petrakos},
journal= {arXiv preprint arXiv:2510.16749},
year = {2026}
}
Comments
9 pages; v2: minor edits; this is the published version