10 citations · 33 across the 11 of their papers we have counts for
4 papers · 1 filter
Exponential growth of some iterated monodromy groups
Mikhail Hlushchanka, Daniel Meyer
Iterated monodromy groups of postcritically-finite rational maps form a rich class of self-similar groups with interesting properties. There are examples of such groups that have i…
Invariant Jordan curves of Sierpiski carpet rational maps
Yan Gao, Peter Haïssinsky, Daniel Meyer +1
In this paper, we prove that if is a postcritically finite rational map with Julia set homeomorphic to the Sierpiński carpet, t…
On The Notions of Mating
Carsten Lunde Petersen, Daniel Meyer
The different notions of matings of pairs of equal degree polynomials are introduced and are related to each other as well as known results on matings. The possible obstructions to…
Expanding Thurston Maps
Mario Bonk, Daniel Meyer
We study the dynamics of Thurston maps under iteration. These are branched covering maps of 2-spheres with a finite set of postcritical points. We also…