On the measurable dynamics of z → ez
- 19 September 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (3) , 329-335
- https://doi.org/10.1017/s0143385700002984
Abstract
We study the measure theoretic properties of the complex exponential map E(z) = ez.An particular, we show that the equivalence relation generated by E is recurrent and that E has no quasi-conformal deformations. This enables us to give some information concerning Devaney's semi-conjugacy between E and the shift map on sequences of integers.Keywords
This publication has 4 references indexed in Scilit:
- Dynamics of exp (z)Ergodic Theory and Dynamical Systems, 1984
- On iterates of ezErgodic Theory and Dynamical Systems, 1981
- Quasiconformal Mappings in the PlanePublished by Springer Nature ,1973
- Riemann's Mapping Theorem for Variable MetricsAnnals of Mathematics, 1960