200 citations · 646 across the 25 of their papers we have counts for
16 papers · 1 filter
A threshold for relative hyperbolicity in random right-angled Coxeter groups
Jason Behrstock, Recep Altar Ciceksiz, Victor Falgas-Ravry
We consider the random right-angled Coxeter group whose presentation graph is an Erd{\H o}s--Rényi random graph on vertices with edge probabilit…
Relative hyperbolicity, thickness, and the hierarchically hyperbolic boundary
Carolyn Abbott, Jason Behrstock, Jacob Russell
We study the boundaries of relatively hyperbolic HHGs. Using the simplicial structure on the hierarchically hyperbolic boundary, we characterize both relative hyperbolicity and bei…
Structure invariant properties of the hierarchically hyperbolic boundary
Carolyn Abbott, Jason Behrstock, Jacob Russell
We prove several topological and dynamical properties of the boundary of a hierarchically hyperbolic group are independent of the specific hierarchically hyperbolic structure. This…
A combinatorial take on hierarchical hyperbolicity and applications to quotients of mapping class groups
Jason Behrstock, Mark Hagen, Alexandre Martin +1
We give a simple combinatorial criterion, in terms of an action on a hyperbolic simplicial complex, for a group to be hierarchically hyperbolic. We apply this to show that quotient…
Conjugator lengths in hierarchically hyperbolic groups
Carolyn Abbott, Jason Behrstock
In this paper, we establish upper bounds on the length of the shortest conjugator between pairs of infinite order elements in a wide class of groups. We obtain a general result whi…
Largest acylindrical actions and stability in hierarchically hyperbolic groups
Carolyn Abbott, Jason Behrstock, Daniel Berlyne +2
We consider two manifestations of non-positive curvature: acylindrical actions on hyperbolic spaces and quasigeodesic stability. We study these properties for the class of hierarch…