58 citations · 490 across the 38 of their papers we have counts for
4 papers · 1 filter
The escaping set of the exponential
Lasse Rempe
We show that the points that converge to infinity under iteration of the exponential map form a connected subset of the complex plane.
A note on hyperbolic leaves and wild laminations of rational functions
Jeremy Kahn, Mikhail Lyubich, Lasse Rempe
We study the affine orbifold laminations that were constructed by Lyubich and Minsky. An important question left open in their construction is whether these laminations are always…
Bifurcation Loci of Exponential Maps and Quadratic Polynomials: Local Connectivity, Triviality of Fibers, and Density of Hyperbolicity
Lasse Rempe, Dierk Schleicher
We study the bifurcation loci of quadratic (and unicritical) polynomials and exponential maps. We outline a proof that the exponential bifurcation locus is connected; this is an an…
Absence of line fields and Mane's theorem for non-recurrent transcendental functions
Lasse Rempe, Sebastian van Strien
Let f be a transcendental meromorphic function. Suppose that the finite part of the postsingular set of f is bounded, that f has no recurrent critical points or wandering domains,…