5 citations · 11 across the 6 of their papers we have counts for
6 papers
Group boundaries for semidirect products with Z
Craig R. Guilbault, Brendan Burns Healy, Brian Pietsch
Bestvina's notion of a Z-structure provides a general framework for group boundaries that includes Gromov boundaries of hyperbolic groups and visual boundaries of CAT(0) groups as…
Wallpaper Groups and Auxetic Metamaterials
Brendan Burns Healy, Aparna Deshmukh, Elliott Fairchild +2
We examine a fundamental material property called Poisson's ratio, which establishes the relationship for the relative deformation of a physical system in orthogonal directions. Ar…
Cusped spaces and quasi-isometries of relatively hyperbolic groups
Brendan Burns Healy, G. Christopher Hruska
A group with a family of subgroups is relatively hyperbolic if admits a cusp-uniform action on a proper --hyperbolic space. We show that any two such spaces…
Pinched Curvature in Heintze Groups of Carnot-type
Brendan Burns Healy
Rank-one symmetric spaces carry a solvable group model which have a generalization to a larger class of Lie groups that are one-dimensional extensions of nilpotent groups. By exami…
Rigidity Properties for Hyperbolic Generalizations
Brendan Burns Healy
We make a few observations on the absence of geometric and topological rigidity for acylindrically hyperbolic and relatively hyperbolic groups. In particular, we demonstrate the la…
Acylindrical Hyperbolicity of Out()
Brendan Burns Healy
We prove that the group of outer automorphisms of the free Coxeter group is acylindrically hyperbolic in the sense of Osin. As an application, we observe that any CAT(0) spac…