181 citations · 279 across the 7 of their papers we have counts for
8 papers
Green function in metric measure spaces
Mario Bonk, Luca Capogna, Xiaodan Zhou
We study existence and uniqueness of Green functions for the Cheeger -Laplacian in metric measure spaces that are Ahlfors -regular and support a -Poincaré inequality with…
The Rickman-Picard Theorem
Mario Bonk, Pietro Poggi-Corradini
We give a new and conceptually simple proof of the Rickman-Picard theorem for quasiregular maps based on potential-theoretic methods.
The continuum self-similar tree
Mario Bonk, Huy Tran
We introduce the continuum self-similar tree (CSST) and characterize it topologically. We apply this to answer a question of Curien about the topology of the continuum random tree…
Rigidity of Schottky sets
Mario Bonk, Bruce Kleiner, Sergei Merenkov
We call a complement of a union of at least three disjoint (round) open balls in the unit sphere S^n a Schottky set. We prove that every quasisymmetric homeomorphism of a Schottky…
Quasi-hyperbolic planes in hyperbolic groups
Mario Bonk, Bruce Kleiner
The hyperbolic plane admits a quasi-isometric embedding into a hyperbolic group if and only if the group is not virtually free.
Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary
Mario Bonk, Bruce Kleiner
Suppose G is a Gromov hyperbolic group, and the boundary at infinity of G is quasisymmetrically homeomorphic to an Ahlfors Q-regular metric 2-sphere Z with Ahlfors regular conforma…