10 citations · 33 across the 11 of their papers we have counts for
10 papers · 1 filter
Quasi-visual approximations
Mario Bonk, Mikhail Hlushchanka, Daniel Meyer
We develop the foundations of the theory of quasi-visual approximations of bounded metric spaces. Roughly speaking, these are sequences of covers of a given space for which the dia…
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…
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.
Unmating of rational maps, sufficient criteria and examples
Daniel Meyer
Douady and Hubbard introduced the operation of mating of polynomials. This identifies two filled Julia sets and the dynamics on them via external rays. In many cases one obtains a…
Quasicircles and Bounded Turning Circles Modulo bi-Lipschitz Maps
David A. Herron, Daniel Meyer
We construct a catalog, of snowflake type metric circles, that describes all metric quasicircles up to \bl\ equivalence. This is a metric space analog of a result due to Rohde. Our…
Bounded turning circles are weak-quasicircles
Daniel Meyer
We show that a metric Jordan curve is \emph{bounded turning} if and only if there exists a \emph{weak-quasisymmetric} homeomorphism .