3 papers
math.CV2020
Uniformly branching trees
Mario Bonk, Daniel Meyer
A quasiconformal tree is a (compact) metric tree that is doubling and of bounded turning. We call trivalent if every branch point of has exactly three branches. If the…
math.CV2020
Quotients of torus endomorphisms and Lattès-type maps
Mario Bonk, Daniel Meyer
We show that if an expanding Thurston map is the quotient of a torus endomorphism, then it has a parabolic orbifold and is a Lattès-type map.
math.MG2019
Quasiconformal and geodesic trees
Mario Bonk, Daniel Meyer
A quasiconformal tree is a metric tree that is doubling and of bounded turning. We prove that every quasiconformal tree is quasisymmetrically equivalent to a geodesic tree with Hau…