1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
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…
Some recent applications of the barycenter method in geometry
Christopher Connell, Benson Farb
In this paper we describe some recent applications of the barycenter method in geometry. This method was first used by Duady-Earle and later greatly extended by Besson-Courtois-Gal…
Minimal entropy rigidity for lattices in products of rank one symmetric spaces
Christopher Connell, Benson Farb
We prove minimal entropy rigidity for complete, finite volume manifolds locally isometric to a product of rank one symmetric spaces of dimension at least 3: the locally symmetric m…
The Degree Theorem in higher rank
Christopher Connell, Benson Farb
Let M be any closed, locally symmetric n-manifold (n>1) of nonpositive curvature. Assume that M has no locally Euclidean factors and no factors locally isometric to SL(3,R). Then f…