3 papers
math.GR2026
On quantitative orbit equivalence for lamplighter-like groups
Corentin Correia, Vincent Dumoncel
We focus on halo products, a class of groups introduced by Genevois and Tessera, and whose geometry mimics lamplighters. Famous examples are lampshufflers. Motivated by their work…
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…