Harmonicity of Gibbs measures
From MaRDI portal
Publication:881923
DOI10.1215/S0012-7094-07-13732-3zbMath1133.60032arXivmath/0507033MaRDI QIDQ881923
Publication date: 18 May 2007
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0507033
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Hyperbolic groups and nonpositively curved groups (20F67) Boundary theory for Markov processes (60J50)
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Cites Work
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- Uniform distribution of orbits of lattices on spaces of frames
- Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits
- Random walks on discrete groups: Boundary and entropy
- The density at infinity of a discrete group of hyperbolic motions
- The limit set of a Fuchsian group
- The Poisson boundary of Teichmüller space
- Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
- On the cross-ratio at the boundary of \(CAT(-1)\)-spaces
- Harmonic measures for compact negatively curved manifolds
- Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
- The Poisson boundary of the mapping class group
- A note on stationarity of spherical measures
- Flows and joins of metric spaces
- Harmonicity of quasiconformal measures and Poisson boundaries of hyperbolic spaces
- A Poisson formula for semi-simple Lie groups
- Vanishing l1-sums of the Poisson kernel, and sums with positive coefficients
- Bases for Positive Continuous Functions
- Representation of continuous functions as sums of Green functions
- Poisson boundaries and envelopes of discrete groups
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- The Poisson formula for groups with hyperbolic properties