4 citations · 5 across the 3 of their papers we have counts for
4 papers
Boundary unitary representations - irreducibility and rigidity
Uri Bader, Roman Muchnik
Let be compact negatively curved manifold, and be its universal cover. Denote by the geodesic boundary of and by …
Harmonicity of Gibbs measures
Chris Connell, Roman Muchnik
In this paper we extend the construction of random walks with a prescribed Poisson boundary to the case of measures in the class of a generalized Gibbs state. The price for droppin…
Amenability of Universal 2-Grigorchuk group
Roman Muchnik
We consider the universal Grigorchuk 2-group, i.e., the group such that every Grigorchuk 2-group is a quotient. We show that this group has a nice universal representation in the g…
Harmonicity of quasiconformal measures and Poisson boundaries of hyperbolic spaces
Chris Connell, Roman Muchnik
We consider a group G of isometries acting on a (not necessarily geodesic) delta-hyperbolic space X and possessing a radial limit set of full measure within its limit set. For any…