10 papers
Topology and dynamics of unimodular random hyperbolic manifolds
Ilya Gekhtman, Nir Lazarovich, Arie Levit +1
We investigate the relationship between the space of ends of a unimodular random hyperbolic manifold and the dynamics of its geodesic flow. We show that having two ends of infinite…
Average Distortion of Commensurators of Hyperbolic Groups
Nir Lazarovich, Suraj Krishna M S, Mahan Mj
We prove that commensurators of a geometrically rigid residually finite hyperbolic group have bounded average distortion.
Ascending chains of free subgroups in closed hyperbolic and graph 3-manifold groups
Edgar A. Bering, Nir Lazarovich
Takahasi and Higman independently proved that any ascending chain of subgroups of constant rank in a free group must stabilize. Kapovich and Myasnikov gave a proof of this fact in…
Simple Lattices in Products of Davis Complexes
Michal Amir, Nir Lazarovich
Burger and Mozes (1997) constructed the first examples of simple uniform lattices in products of trees. In this paper, we construct simple uniform lattices in products of certain D…
Ascending Chains in 3-Manifold and Relatively Hyperbolic Groups
Edgar A. Bering, Jakob Heikamp, Jack Kohav +2
We prove that any ascending chain of bounded rank subgroups in the fundamental group of a compact -manifold stabilizes. We use geometrization to reduce the proof to fundamental…
Finiteness of Cannon--Thurston fibers
Indranil Bhattacharyya, Rakesh Halder, Nir Lazarovich +1
Let be a proper map between proper hyperbolic metric spaces. A Cannon--Thurston map is a continuous extension . We prove that in most known sett…