The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups
From MaRDI portal
Publication:6115057
DOI10.1090/btran/145zbMath1520.20096arXiv2010.07671MaRDI QIDQ6115057
Wen-Yuan Yang, Matthieu Dussaule
Publication date: 12 July 2023
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.07671
Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)
Cites Work
- Projections and relative hyperbolicity.
- Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups.
- Boundaries of random walks on graphs and groups with infinitely many ends
- Relative hyperbolicity and relative quasiconvexity for countable groups.
- Expansive convergence groups are relatively hyperbolic.
- A relation between dimension of the harmonic measure, entropy and drift for a random walk on a hyperbolic space
- The accessibility of finitely presented groups
- Random walks on discrete groups: Boundary and entropy
- Group completions and limit sets of Kleinian groups
- Cut points and canonical splittings of hyperbolic groups
- Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
- Vertex-transitive graphs and accessibility
- Embeddings of Gromov hyperbolic spaces
- Lectures on analysis on metric spaces
- Random walks on weakly hyperbolic groups
- Entropy and drift in word hyperbolic groups
- Groups acting on Cantor sets and the end structure of graphs.
- Floyd maps for relatively hyperbolic groups.
- An extension of Hawkes' theorem on the Hausdorff dimension of a Galton-Watson tree
- Largest projections for random walks and shortest curves in random mapping tori
- Cusp excursion in hyperbolic manifolds and singularity of harmonic measure
- Entropy and drift for word metrics on relatively hyperbolic groups
- Martin boundary covers Floyd boundary
- On the space of ends of infinitely generated groups
- Hausdorff dimension of boundaries of relatively hyperbolic groups
- Sublinear deviation between geodesics and sample paths
- Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity
- On torsion-free groups with infinitely many ends
- Bounded geometry in relatively hyperbolic groups.
- Über die Enden diskreter Räume und Gruppen
- Acylindrically hyperbolic groups
- RELATIVELY HYPERBOLIC GROUPS
- Branching random walks on free products of groups
- Growth tightness for groups with contracting elements
- Martin and End Compactifications for Nonlocally Finite Graphs
- Graph directed Markov systems on Hilbert spaces
- Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
- Dimensional properties of the harmonic measure for a random walk on a hyperbolic group
- Harmonic functions and ends of graphs
- [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
- Hausdorff dimension of the harmonic measure on trees
- Free Subgroups of Groups with Nontrivial Floyd Boundary
- A topological characterisation of relatively hyperbolic groups
- Dimension of harmonic measures in hyperbolic spaces
- Martin Boundaries of Random Walks: Ends of Trees and Groups
- On sublinear bilipschitz equivalence of groups
- Statistically Convex-Cocompact Actions of Groups with Contracting Elements
- Rigidity Properties for Hyperbolic Generalizations
- Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions
- Harmonic measures versus quasiconformal measures for hyperbolic groups
- RELATIONS BETWEEN VARIOUS BOUNDARIES OF RELATIVELY HYPERBOLIC GROUPS
- Relatively hyperbolic groups
- The Poisson formula for groups with hyperbolic properties
- Patterson-Sullivan measures and growth of relatively hyperbolic groups
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
