### Knobbly but nice

Ergodic Theory and Dynamical Systems Seminar

30th May 2019, 2:00 pm – 3:00 pm

Howard House, 4th Floor Seminar Room

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 \emph{nice} sets, used in induction methods to study ergodic and geometric properties of the dynamics.

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