Or Landesberg

activity

20192025

most citedThe Hopf-Tsuji-Sullivan dichotomy in higher rank and applications to Anosov subgroups

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

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.DS2024

Classification of horocycle orbit closures in $Z$ -covers

James Farre, Or Landesberg, Yair Minsky

We fully describe all horocycle orbit closures in $Z$ -covers of compact hyperbolic surfaces. Our results rely on a careful analysis of the efficiency of all distance min…

math.DS2023

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 $Z$ -covers of compact hyperbolic manifolds. For surfaces, we provide nov…

math.DS2022

On denseness of horospheres in higher rank homogeneous spaces

Or Landesberg, Hee Oh

Let $G$ be a connected, semisimple real algebraic group and $Γ < G$ be a Zariski dense discrete subgroup. Let $N$ denote a maximal horospherical subgroup of $G$ , and $P = M A N$ the m…

math.DS2021

Horospherical invariant measures and a rank dichotomy for Anosov groups

Or Landesberg, Minju Lee, Elon Lindenstrauss +1

Let $G = \prod_{i = 1}^{r} G_{i}$ be a product of simple real algebraic groups of rank one and $Γ$ an Anosov subgroup of $G$ with respect to a minimal parabolic subgroup. For each $v$ in…

math.DS2021★ 2 cited

The Hopf-Tsuji-Sullivan dichotomy in higher rank and applications to Anosov subgroups

Marc Burger, Or Landesberg, Minju Lee +1

We establish an extension of the Hopf-Tsuji-Sullivan dichotomy to any Zariski dense discrete subgroup of a semisimple real algebraic group $G$ . We then apply this dichotomy to Anos…

math.DS2020

Horospherically invariant measures and finitely generated Kleinian groups

Or Landesberg

Let $Γ < P S L_{2} (C)$ be a Zariski dense finitely generated Kleinian group. We show all Radon measures on $P S L_{2} (C) /Γ$ which are ergodic and invariant under the…

math.DS2019

On Radon measures invariant under horospherical flows on geometrically infinite quotients

Or Landesberg, Elon Lindenstrauss

We consider a locally finite (Radon) measure on $S O^{+} (d, 1) /Γ$ invariant under a horospherical subgroup of $S O^{+} (d, 1)$ where $Γ$ is a discrete, but not necessarily geometricall…