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math.DS2025
Weaving Geodesics and New Phenomena in Horocyclic Dynamics
Françoise Dal'bo, James Farre, Or Landesberg +1
We construct geometrically infinite hyperbolic surfaces supporting horocycles with tailored recurrence properties. In particular, we obtain the first examples of non-trivial minima…
math.GT2025
Asymptotically CAT(0) metrics, Z-structures, and the Farrell-Jones Conjecture
Matthew Gentry Durham, Yair Minsky, Alessandro Sisto
We show that colorable hierarchically hyperbolic groups (HHGs) admit asymptotically CAT(0) metrics, that is, roughly, metrics where the CAT(0) inequality holds up to sublinear erro…