47 citations · 349 across the 75 of their papers we have counts for
4 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 $…
Musings on generic-case complexity
Ilya Kapovich
We propose a more general definition of generic-case complexity, based on using a random process for generating inputs of an algorithm and using the time needed to generate an inpu…
On purely loxodromic actions
Ilya Kapovich
We construct an example of an isometric action of on a -hyperbolic graph , such that this action is acylindrical, purely loxodromic, has asymptotic translation lengt…