101 citations · 240 across the 21 of their papers we have counts for
24 papers
Singularity of Cannon-Thurston maps
Vaibhav Gadre, Joseph Maher, Catherine Pfaff +1
In a closed fibered hyperbolic 3-manifold M ,the inclusion of a fiber S, with S and M lifted to the universal covers, gives an exponentially distorted embedding of the hyperbolic p…
Quotients of the curve complex
Joseph Maher, Hidetoshi Masai, Saul Schleimer
We consider three kinds of quotients of the curve complex which are obtained by coning off uniformly quasi-convex subspaces: symmetric curve sets, non-maximal train track sets, and…
Random trees in the boundary of Outer space
Ilya Kapovich, Joseph Maher, Catherine Pfaff +1
We prove that for the harmonic measure associated to a random walk on Out satisfying some mild conditions, a typical tree in the boundary of Outer space is trivalent and non…
Random walks, WPD actions, and the Cremona group
Joseph Maher, Giulio Tiozzo
We study random walks on groups of isometries of non-proper delta-hyperbolic spaces under the assumption that at least one element in the group satisfies Bestvina-Fujiwara's WPD co…
Random outer automorphisms of free groups: Attracting trees and their singularity structures
Ilya Kapovich, Joseph Maher, Catherine Pfaff +1
We prove that a "random" free group outer automorphism is an ageometric fully irreducible outer automorphism whose ideal Whitehead graph is a union of triangles. In particular, we…
The compression body graph has infinite diameter
Joseph Maher, Saul Schleimer
We show that the compression body graph has infinite diameter.