5 papers · 1 filter
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…
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…
Minimizing laminations in regular covers, horospherical orbit closures, and circle-valued Lipschitz maps
James Farre, Or Landesberg, Yair Minsky
We expose a connection between distance minimizing laminations and horospherical orbit closures in -covers of compact hyperbolic manifolds. For surfaces, we provide nov…
Horospherically invariant measures and finitely generated Kleinian groups
Or Landesberg
Let be a Zariski dense finitely generated Kleinian group. We show all Radon measures on which are ergodic and invariant under the…
On Radon measures invariant under horospherical flows on geometrically infinite quotients
Or Landesberg, Elon Lindenstrauss
We consider a locally finite (Radon) measure on invariant under a horospherical subgroup of where is a discrete, but not necessarily geometricall…