Lasse Rempe

activity

20032026

most citedTopological Dynamics of Exponential Maps on their Escaping Sets

58 citations · 490 across the 38 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

math.DS2009★ 22 cited

Connected escaping sets of exponential maps

Lasse Rempe

We show that for many complex parameters a, the set of points that converge to infinity under iteration of the exponential map f(z)=e^z+a is connected. This includes all parameters…

math.DS2009★ 29 cited

Hausdorff dimensions of escaping sets of transcendental entire functions

Lasse Rempe, Gwyneth M. Stallard

Let $f$ and $g$ be transcendental entire functions, each with a bounded set of singular values, and suppose that $f$ and $g$ are affinely equivalent (that is, $g \circ ϕ = ψ \circ f$ …

math.DS2009★ 16 cited

Are Devaney hairs fast escaping?

Lasse Rempe, Philip J. Rippon, Gwyneth M. Stallard

Beginning with Devaney, several authors have studied transcendental entire functions for which every point in the escaping set can be connected to infinity by a curve in the escapi…