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arXiv · 2609.24820

Quantitative orbit equivalence for rank-one systems

Corentin Correia·Spyridon Petrakos
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Abstract

We prove that any two rank-one systems are sub-$L^1$ orbit equivalent, fully clarifying quantitative orbit equivalence for a generic class of transformations. As a corollary, we establish unconditional optimality of Belinskaya's theorem.

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Corentin Correia, Spyridon Petrakos. 2026-09-21. Quantitative orbit equivalence for rank-one systems. https://arxiv.org/abs/2609.24820

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