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math.DS2026
Quantitative orbit equivalence for rank-one systems
Corentin Correia, Spyridon Petrakos
We prove that any two rank-one systems are sub- orbit equivalent, fully clarifying quantitative orbit equivalence for a generic class of transformations. As a corollary, we es…
math.DS2025
Odomutants and flexibility results for quantitative orbit equivalence
Corentin Correia
We introduce new systems that we call odomutants, built by distorting the orbits of an odometer. We use these transformations for flexibility results in quantitative orbit equivale…
math.DS2024★ 1 cited
Rank-one systems, flexible classes and Shannon orbit equivalence
Corentin Correia
We build a Shannon orbit equivalence between the universal odometer and a variety of rank-one systems. This is done in a unified manner, using what we call flexible classes of rank…