16 citations · 25 across the 8 of their papers we have counts for
10 papers
Intrinsic Rank in CAT(0) Spaces
Pedro Ontaneda, Russell Ricks
Let be a proper, geodesically complete CAT(0) space which satisfies Chen and Eberlein's duality condition. We show the existence of a strong notion of rank for by proving t…
Extending a rigidity result of Lytchak
Russell Ricks
We extend a rigidity result of Alexander Lytchak by relaxing the requirement that the CAT(1) space be geodesically complete.
Closed subsets of a CAT(0) 2-complex are intrinsically CAT(0)
Russell Ricks
Let k be at most 0, and let X be a locally-finite CAT(k) polyhedral 2-complex X, each face with constant curvature k. Let E be a closed, rectifiably-connected subset of X with triv…
The unique measure of maximal entropy for a compact rank one locally CAT(0) space
Russell Ricks
Let be a compact, geodesically complete, locally CAT(0) space such that the universal cover admits a rank one axis. We prove the Bowen-Margulis measure on the space of geodesic…
Counting closed geodesics in a compact rank one locally CAT(0) space
Russell Ricks
Let be a compact, geodesically complete, locally CAT(0) space such that the universal cover admits a rank one axis. Assume is not homothetic to a metric graph with integer…
A rank rigidity result for CAT(0) spaces with one-dimensional Tits boundaries
Russell Ricks
We prove the following rank rigidity result for proper CAT(0) spaces with one-dimensional Tits boundaries: Let be a group acting properly discontinuously, cocompactly, and by i…