3 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…
math.DS2025
On asymptotic expansions of ergodic integrals for -extensions of translation flows
Henk Bruin, Charles Fougeron, Davide Ravotti +1
We obtain expansions of ergodic integrals for -covers of compact self-similar translation flows, and as a consequence we obtain a form of weak rational ergodicity with optima…