10 citations · 33 across the 11 of their papers we have counts for
16 papers
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…
Approximating Riemannian manifolds by polyhedra
Daniel Meyer, Eric Toubiana
This is a study on approximating a Riemannian manifold by polyhedra. Our scope is understanding Tullio Regge's [52] article in the restricted Riemannian frame. We give a proof of t…
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.
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…
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…