2 papers
math.DS2026
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.DS2024
Classification of horocycle orbit closures in -covers
James Farre, Or Landesberg, Yair Minsky
We fully describe all horocycle orbit closures in -covers of compact hyperbolic surfaces. Our results rely on a careful analysis of the efficiency of all distance min…