On the measurable dynamics of <i>z</i> โ <i>e<sup>z</sup></i>
On the measurable dynamics of <i>z</i> โ <i>e<sup>z</sup></i>
Abstract We study the measure theoretic properties of the complex exponential map E ( z ) = e z .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 โฆ