3 papers
math.GR2025
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 probabi…
math.PR2025
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 ErdÅs--Rényi random graph, i.e., . We use techni…
math.GR2024
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…