4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.GR2005★ 1 cited
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…
math.GR2005★ 4 cited
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…
math.GR2004
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…