Slow chaos in surface flows

  title={Slow chaos in surface flows},
  author={Corinna Ulcigrai},
  journal={Bollettino dell'Unione Matematica Italiana},
  • C. Ulcigrai
  • Published 13 October 2020
  • Mathematics
  • Bollettino dell'Unione Matematica Italiana
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… 
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