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math.GT2021
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…
math.MG2021
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…