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math.DS2025
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…
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…