30 citations · 70 across the 12 of their papers we have counts for
14 papers
The topological Ax--Lindemann theorem for the complex hyperbolic space
François Labourie, Shahar Mozes
In the case of the complex hyperbolic space, we establish a version of the hyperbolic Ax--Lindemann Theorem for the topological closure rather than the Zariski closure. Our approac…
Good Locally Testable Codes
Irit Dinur, Shai Evra, Ron Livne +2
An explicit construction of locally testable codes of constant rate, constant distance and constant number of queries is given. Hence answering affirmatively the -problem.
Locally Testable Codes with constant rate, distance, and locality
Irit Dinur, Shai Evra, Ron Livne +2
A locally testable code (LTC) is an error-correcting code that has a property-tester. The tester reads bits that are randomly chosen, and rejects words with probability proport…
Surface groups in uniform lattices of some semi-simple groups
Jeremy Kahn, François Labourie, Shahar Mozes
We show that uniform lattices in some semi-simple groups (notably complex ones) admit Anosov surface subgroups. This result has a quantitative version: we introduce a notion, calle…
Topological finite generation of compact open subgroups of universal groups
Marc Burger, Shahar Mozes
In this paper we characterize the finite permutation groups on letters such that every compact open subgroup of the associated universal group is t…
Lattices in amenable groups
U. Bader, P-E. Caprace, T. Gelander +1
Let be a locally compact amenable group. We say that G has property (M) if every closed subgroup of finite covolume in G is cocompact. A classical theorem of Mostow ensures tha…