30 citations · 87 across the 6 of their papers we have counts for
Showing 2015Show all
2 papers · 1 filter
math.DS2015★ 23 cited
Escaping endpoints explode
Nada Alhabib, Lasse Rempe-Gillen
In 1988, Mayer proved the remarkable fact that infinity is an explosion point for the set of endpoints of the Julia set of an exponential map that has an attracting fixed point. Th…
math.CV2015★ 17 cited
Hyperbolic entire functions and the Eremenko-Lyubich class: Class or not class ?
Lasse Rempe-Gillen, Dave Sixsmith
Hyperbolicity plays an important role in the study of dynamical systems, and is a key concept in the iteration of rational functions of one complex variable. Hyperbolic systems hav…