# Slow chaos in surface flows

@article{Ulcigrai2020SlowCI, title={Slow chaos in surface flows}, author={Corinna Ulcigrai}, journal={Bollettino dell'Unione Matematica Italiana}, year={2020}, volume={14}, pages={231-255} }

Flows on surfaces describe many systems of physical origin and are one of the most fundamental examples of dynamical systems, studied since Poincará. In the last decade, there have been a lot of advances in our understanding of the chaotic properties of smooth area-preserving flows (a class which include locally Hamiltonian flows), thanks to the connection to Teichmueller dynamics and, very recently, to the influence of the work of Marina Ratner in homogeneous dynamics. We motivate and survey…

## 2 Citations

### Dynamics and 'arithmetics' of higher genus surface flows

- Mathematics
- 2022

. We survey some recent advances in the study of (area-preserving) ﬂows on surfaces, in particular on the typical dynamical, ergodic and spectral properties of smooth area-preserving (or locally…

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