Entropy and drift for word metrics on relatively hyperbolic groups
From MaRDI portal
Publication:2035067
DOI10.4171/GGD/588WikidataQ115481607 ScholiaQ115481607MaRDI QIDQ2035067
Matthieu Dussaule, Ilya Gekhtman
Publication date: 23 June 2021
Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.10849
entropyrandom walkvolume growthdriftPatterson-Sullivan measuresharmonic measuresrelative hyperbolicity
Asymptotic properties of groups (20F69) Boundary theory for Markov processes (60J50) Random walks on graphs (05C81)
Related Items
The fundamental inequality for cocompact Fuchsian groups, Local limit theorems in relatively hyperbolic groups II: the non-spectrally degenerate case, The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups, Entropy and drift for Gibbs measures on geometrically finite manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong hyperbolicity
- Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups.
- The action of a nilpotent group on its horofunction boundary has finite orbits.
- Normalizer, divergence type, and Patterson measure for discrete groups of the Gromov hyperbolic space
- Internal diffusion limited aggregation on discrete groups having exponential growth
- Quasiconvexity in relatively hyperbolic groups
- Relative hyperbolicity and relative quasiconvexity for countable groups.
- Expansive convergence groups are relatively hyperbolic.
- Random walks on discrete groups: Boundary and entropy
- Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
- Random walks on weakly hyperbolic groups
- Entropy and drift in word hyperbolic groups
- Geometrical finiteness with variable negative curvature
- Geometric measure theory.
- Distinguished subgroups and quotients of hyperbolic groups
- Floyd maps for relatively hyperbolic groups.
- The Martin boundary of a free product of abelian groups
- Counting problems in graph products and relatively hyperbolic groups
- Hausdorff dimension of boundaries of relatively hyperbolic groups
- Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity
- Sur la géométrie symplectique de l'espace des géodésiques d'une variété à courbure négative. (On the symplectic geometry of the space of geodesics of a manifold with negative curvature)
- Asymptotic entropy and Green speed for random walks on countable groups
- Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
- Dynamic theory of growth in groups: Entropy, boundaries, examples
- Acylindrically hyperbolic groups
- RELATIVELY HYPERBOLIC GROUPS
- Branching random walks on free products of groups
- Conical limit points and uniform convergence groups
- Free Subgroups of Groups with Nontrivial Floyd Boundary
- A topological characterisation of relatively hyperbolic groups
- Dimension of harmonic measures in hyperbolic spaces
- Remarques sur le spectre des longueurs d'une surface et comptages
- Croissance des boules et des géodésiques fermées dans les nilvariétés
- Random Walks on Infinite Graphs and Groups
- Entropy and drift for Gibbs measures on geometrically finite manifolds
- Harmonic measures versus quasiconformal measures for hyperbolic groups
- Relatively hyperbolic groups
- The Poisson formula for groups with hyperbolic properties