14 citations · 65 across the 17 of their papers we have counts for
4 papers · 1 filter
Invariant random subgroups of semidirect products
Ian Biringer, Lewis Bowen, Omer Tamuz
We study invariant random subgroups (IRSs) of semidirect products . In particular, we characterize all IRSs of parabolic subgroups of ,…
Unimodularity of Invariant Random Subgroups
Ian Biringer, Omer Tamuz
An invariant random subgroup is a random closed subgroup whose law is invariant to conjugation by all elements of . When is locally compact and second countable,…
Intersection growth in groups
Ian Biringer, Khalid Bou-Rabee, Martin Kassabov +1
The intersection growth of a group is the asymptotic behavior of the index of the intersection of all subgroups of with index at most , and measures the Hausdorff dimens…
On the growth of Betti numbers of locally symmetric spaces
Miklos Abert, Nicolas Bergeron, Ian Biringer +4
We announce new results concerning the asymptotic behavior of the Betti numbers of higher rank locally symmetric spaces as their volumes tend to infinity. Our main theorem is a uni…