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- École Normale Supérieure - PSLFR647 papers
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22 papers · 1 filter
Sharpness of proper and cocompact actions on reductive homogeneous spaces
Fanny Kassel, Nicolas Tholozan
We prove that if is any noncompact connected real reductive linear Lie group, and any discrete subgroup of acting properly discontinuously and cocompactly on some homog…
Non-C*-simple groups admit non-free actions on their Poisson boundaries
Andrei Alpeev
It is a classical result of Kaimanovich and Vershik and independently of Rosenblatt that a non-amenable group admits a non-degenerate symmetric measure such that the Poisson bounda…
The Poisson boundary of lampshuffler groups
Eduardo Silva
We study random walks on the lampshuffler group , where is a finitely generated group and is the group of finitary permutations of…
Poisson Boundary for Upper-Triangular Groups
Anna Erschler, Josh Frisch, Mark Rychnovsky
We prove that finite entropy random walks on the torsion-free Baumslag group in dimension have non-trivial Poisson boundary. This is in contrast with the torsion case where t…
Poisson boundary of group extensions
Anna Erschler, Joshua Frisch
Given a finitely generated group, the well-known Stability Problem asks whether the non-triviality of the Poisson-Furstenberg boundary (which is equivalent to the existence of non-…
Dead ends on wreath products and lamplighter groups
Eduardo Silva
For any finite group and any finitely generated group , we prove that the corresponding lamplighter group admits a standard generating set with unbounded depth, and…