61 citations · 219 across the 26 of their papers we have counts for
6 papers · 1 filter
Intersection properties of stable subgroups and bounded cohomology
Yago Antolín, Mahan Mj, Alessandro Sisto +1
We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width and bounded packing. We then use knowledge about intersections of…
Largest projections for random walks and shortest curves in random mapping tori
Alessandro Sisto, Samuel J. Taylor
We show that the largest subsurface projection distance between a marking and its image under the nth step of a random walk grows logarithmically in n, with probability approaching…
Pulling back stability with applications to Out() and relatively hyperbolic groups
Tarik Aougab, Matthew Gentry Durham, Samuel J. Taylor
We prove that stability -- a strong quasiconvexity property -- pulls back under proper actions on proper metric spaces. This result has several applications, including that convex…
Counting loxodromics for hyperbolic actions
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
Let be a nonelementary action by isometries of a hyperbolic group on a hyperbolic metric space . We show that the set of elements of which act as…
Fibered faces, veering triangulations, and the arc complex
Yair N. Minsky, Samuel J. Taylor
We study the connections between subsurface projections in curve and arc complexes in fibered 3-manifolds and Agol's veering triangulation. The main theme is that large-distance su…
The co-surface graph and the geometry of hyperbolic free group extensions
Spencer Dowdall, Samuel J. Taylor
We introduce the co-surface graph of a finitely generated free group and use it to study the geometry of hyperbolic group extensions of . Am…