D. Schleicher

activity

19992008

most citedHyperbolic Components in Exponential Parameter Space

9 citations · 25 across the 5 of their papers we have counts for

collaborators

Showing 2003Show all

2 papers · 1 filter

math.DS2003

Bifurcations in the Space of Exponential Maps

Lasse Rempe, Dierk Schleicher

This article investigates the parameter space of the exponential family $z \mapsto exp (z) + κ$ . We prove that the boundary (in $\C$) of every hyperbolic component is a Jordan arc, as…

math.DS2003

Classification of Escaping Exponential Maps

Markus Förster, Lasse Rempe, Dierk Schleicher

We give a complete classification of the set of parameters $κ$ for which the singular value of $E_{κ} : z \mapsto exp (z) + κ$ escapes to infinity under iteration. In particular, we show…