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math.DS2021
On the asymptotic growth of Birkhoff integrals for locally Hamiltonian flows and ergodicity of their extensions
Krzysztof Frączek, Corinna Ulcigrai
We consider smooth area-preserving flows (also known as locally Hamiltonian flows) on surfaces of genus and study ergodic integrals of smooth observables along the flow t…
math.DS2021★ 1 cited
A priori bounds for GIETs, affine shadows and rigidity of foliations in genus 2
Selim Ghazouani, Corinna Ulcigrai
We prove a rigidity result for foliations on surfaces of genus two, which can be seen as a generalization to higher genus of Herman's theorem on circle diffeomorphisms and, corresp…