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Knobbly but nice
Published online by Cambridge University Press: 08 May 2020
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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- © The Author(s) 2020. Published by Cambridge University Press