Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2

@article{Arnaud2020ActionsOS,
  title={Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2},
  author={Marie-Claude Arnaud and Maxime Zavidovique},
  journal={Ergodic Theory and Dynamical Systems},
  year={2020}
}
The two main results in this paper concern the regularity of the invariant foliation of a $C^0$ -integrable symplectic twist diffeomorphism of the two-dimensional annulus, namely that (i) the generating function of such a foliation is $C^1$ , and (ii) the foliation is Hölder with exponent $\tfrac 12$ . We also characterize foliations by graphs that are straightenable via a symplectic homeomorphism and prove that every symplectic homeomorphism that leaves invariant… 
1 Citations

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