44 citations · 112 across the 13 of their papers we have counts for
3 papers · 1 filter
Endomorphisms, train track maps, and fully irreducible monodromies
Spencer Dowdall, Ilya Kapovich, Christopher J. Leininger
Any endomorphism of a finitely generated free group naturally descends to an injective endomorphism of its stable quotient. In this paper, we prove a geometric incarnation of this…
Cannon-Thurston maps for hyperbolic free group extensions
Spencer Dowdall, Ilya Kapovich, Samuel J. Taylor
This paper gives a detailed analysis of the Cannon--Thurston maps associated to a general class of hyperbolic free group extensions. Let denote a free groups of finite rank $…
Contracting orbits in Outer space
Spencer Dowdall, Samuel J. Taylor
We show that strongly contracting geodesics in Outer space project to parameterized quasigeodesics in the free factor complex. This result provides a converse to a theorem of Bestv…