4 citations · 11 across the 6 of their papers we have counts for
7 papers
Singularity of Furstenberg measure for infinite covolume discrete subroups in higher rank
Homin Lee, Wouter Van LimBeek, Giulio Tiozzo
We consider symmetric random walks on discrete, Zariski-dense subgroups of a semisimple Lie group with Property (T). We prove that if has infinite covolume, then the as…
Rigidity of warped cones and coarse geometry of expanders
David Fisher, Thang Nguyen, Wouter van Limbeek
We study the geometry of warped cones over free, minimal isometric group actions and related constructions of expander graphs. We prove a rigidity theorem for the coarse geometry o…
Structure of normally and finitely non-co-Hopfian groups
Wouter van Limbeek
A group G is (finitely) co-Hopfian if it does not contain any proper (finite-index) subgroups isomorphic to itself. We study finitely generated groups G that admit a descending cha…
The fundamental theorem of affine geometry on tori
Jacob Shulkin, Wouter Van Limbeek
The classical Fundamental Theorem of Affine Geometry states that for , any bijection of -dimensional Euclidean space that maps lines to lines (as sets) is given by an a…
Towers of regular self-covers and linear endomorphisms of tori
Wouter Van Limbeek
Let be a closed manifold that admits a self-cover of degree >1. We say p is strongly regular if all its iterates are regular covers. In this case, we establish an a…
Rigidity of convex divisible domains in flag manifolds
Wouter van Limbeek, Andrew Zimmer
In contrast to the many examples of convex divisible domains in real projective space, we prove that up to projective isomorphism there is only one convex divisible domain in the G…
Riemannian manifolds with local symmetry
Wouter van Limbeek
We give a classification of many closed Riemannian manifolds M whose universal cover possesses a nontrivial amount of symmetry. More precisely, we consider closed Riemannian manifo…