Showing 2024Show all
2 papers · 1 filter
math.GR2024
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…
math.DS2024
Secret sharing on the Poisson-Furstenberg boundary I
Andrei Alpeev
Recently, Vadim Kaimanovich presented a particular example of a measure on a product of two standard lamplighter groups such that the Poisson boundary of the induced random walk is…