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math.GT2018
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…
math.GR2018
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…