28 citations · 55 across the 4 of their papers we have counts for
4 papers
Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and Hyperplane Characterization
Devin Murray, Yulan Qing, Abdul Zalloum
We introduce the notion of k-lower divergence for geodesic rays in CAT(0) spaces. Building on the work of Charney and Sultan we give various characterizations of k-contracting geod…
Quasi-Mobius Homeomorphisms of Morse boundaries
Ruth Charney, Matthew Cordes, Devin Murray
The Morse boundary of a proper geodesic metric space is designed to encode hypberbolic-like behavior in the space. A key property of this boundary is that a quasi-isometry between…
A rank-one CAT(0) group is determined by its Morse boundary
Ruth Charney, Devin Murray
The Morse boundary of a proper geodesic metric space is designed to encode hypberbolic-like behavior in the space. A key property of this boundary is that a quasi-isometry between…
Topology and Dynamics of the Contracting Boundary of Cocompact CAT(0) Spaces
Devin Murray
Let be a proper CAT(0) space and let be a cocompact group of isometries of which acts properly discontinuously. Charney and Sultan constructed a quasi-isometry invarian…