200 citations · 646 across the 25 of their papers we have counts for
33 papers
Connectivity for square percolation and coarse cubical rigidity in random right-angled Coxeter groups
Jason Behrstock, R. Altar Ciceksiz, Victor Falgas-Ravry
We consider random right-angled Coxeter groups, , whose presentation graph is taken to be an Erdős--Rényi random graph, i.e., . We use techniques…
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…
Square percolation and the threshold for quadratic divergence in random right-angled Coxeter groups
Jason Behrstock, Victor Falgas-Ravry, Tim Susse
Given a graph , its auxiliary \emph{square-graph} is the graph whose vertices are the non-edges of and whose edges are the pairs of non-edges which induce a squ…
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…