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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.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…