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math.DS2025
Singularity of the spectrum of typical minimal smooth area-preserving flows in any genus
Krzysztof Frączek, Adam Kanigowski, Corinna Ulcigrai
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces, and show that almost every such locally…
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…