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arXiv · 1908.05088

Knobbly but nice

Neil Dobbs
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Abstract

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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Neil Dobbs. 2019-08-14. Knobbly but nice. https://doi.org/10.1017/etds.2020.33

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