Knobbly but nice

@article{Dobbs2021KnobblyBN,
  title={Knobbly but nice},
  author={N. Dobbs},
  journal={Ergodic Theory and Dynamical Systems},
  year={2021},
  volume={41},
  pages={2016 - 2022}
}
  • N. Dobbs
  • Published 2021
  • Mathematics
  • Ergodic Theory and Dynamical Systems
Our main result states that, under an exponential map whose Julia set is the whole complex plane, on each piecewise smooth Jordan curve there is a point whose orbit is dense. This has consequences for the boundaries of nice sets, used in induction methods to study ergodic and geometric properties of the dynamics. 

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