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arXiv · 2510.16749

Quantitative orbit equivalence for $\mathbb{Z}$-odometers

Petr Naryshkin·Spyridon Petrakos
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Abstract

We prove that any two $\mathbb{Z}$-odometers are sub-$L^1$-orbit equivalent, greatly strengthening previous results and giving a definitive picture of quantitative orbit equivalence for these systems.

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Petr Naryshkin, Spyridon Petrakos. 2025-10-19. Quantitative orbit equivalence for $\mathbb{Z}$-odometers. https://doi.org/10.1016/j.aim.2026.110957

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