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 2020 · math.DSShow all

3 papers · 2 filters

math.DS2020★ 4 cited

Singular orbits and Baker domains

Lasse Rempe

We show that there is a transcendental meromorphic function with an invariant Baker domain $U$ such that every singular value of $f$ is a super-attracting periodic point. This answ…

math.DS2020★ 4 cited

Escaping sets are not sigma-compact

Lasse Rempe

Let $f$ be a transcendental entire function. The escaping set $I (f)$ consists of those points that tend to infinity under iteration of $f$ . We show that $I (f)$ is not $σ$ -compact,…

math.DS2020★ 11 cited

Geometrically finite transcendental entire functions

Mashael Alhamed, Lasse Rempe, Dave Sixsmith

For polynomials, local connectivity of Julia sets is a much-studied and important property. Indeed, when the Julia set of a polynomial of degree $d \geq 2$ is locally connected, the…