2 papers
math.DS2026
Rauzy-Veech Induction for Infinite-Type IETs
Charles Fougeron, Sophie Schmidhuber
We consider infinite-type IETs arising from elementary examples of finite-area translation surfaces of infinite genus such as the Baker's surface. We call such IETs tail-reversing…
math.DS2025
Dynamical decomposition of generalized interval exchange transformations
Charles Fougeron, Sophie Schmidhuber, Corinna Ulcigrai
We develop a renormalization scheme which extends the classical Rauzy-Veech induction used to study interval exchange tranformations (IETs) and allows to study generalized interval…