Dimension of harmonic measures in hyperbolic spaces
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Publication:4645905
DOI10.1017/etds.2017.23zbMath1410.37022arXiv1605.03874OpenAlexW2378311546MaRDI QIDQ4645905
Publication date: 11 January 2019
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.03874
Brownian motion (60J65) Capacity and harmonic measure in the complex plane (30C85) Dimension theory of smooth dynamical systems (37C45)
Related Items (9)
The fundamental inequality for cocompact Fuchsian groups ⋮ On the speed of distance stationary sequences ⋮ Groups, Drift and Harmonic Measures ⋮ Random walk speed is a proper function on Teichmüller space ⋮ The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups ⋮ Limit distributions of branching Markov chains ⋮ Large deviations for random walks on Gromov-hyperbolic spaces ⋮ Entropy and drift for word metrics on relatively hyperbolic groups ⋮ Entropy and drift for Gibbs measures on geometrically finite manifolds
Cites Work
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- Continuity of asymptotic characteristics for random walks on hyperbolic groups
- Conditional measures and conditional expectation; Rohlin's disintegration theorem
- Matrix random products with singular harmonic measure
- On self-similar sets with overlaps and inverse theorems for entropy
- Function theory, random paths and covering spaces
- A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space
- Random walks on discrete groups: Boundary and entropy
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- Dimension and product structure of hyperbolic measures
- Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
- Embeddings of Gromov hyperbolic spaces
- Lectures on analysis on metric spaces
- Random walks on weakly hyperbolic groups
- Entropy and drift in word hyperbolic groups
- Liouville property and the linear drift of Brownian motion
- Ledrappier-Young formula and exact dimensionality of self-affine measures
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Gromov hyperbolic spaces
- Acylindrically hyperbolic groups
- Regularity of the drift and entropy of random walks on groups
- Hausdorff spectrum of harmonic measure
- Graph directed Markov systems on Hilbert spaces
- Dimension theory of iterated function systems
- Dimensional properties of the harmonic measure for a random walk on a hyperbolic group
- Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds
- Dimension, entropy and Lyapunov exponents
- Plongements lipschitziens dans ${\bbfR}\sp n$
- Hausdorff dimension of the harmonic measure on trees
- Analyticity of the entropy and the escape rate of random walks in hyperbolic groups
- Harmonic measures versus quasiconformal measures for hyperbolic groups
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
- Geometry and Dynamics in Gromov Hyperbolic Metric Spaces
- The Poisson formula for groups with hyperbolic properties
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