Neil Dobbs
Published 2019-08-14Version 1
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.
Comments: 7 pages. Comments welcome
Convergence of Dynamics and the Perron-Frobenius Operator
Physical measures of discretizations of generic diffeomorphisms
Finiteness theorems for commuting and semiconjugate rational functions
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