Stability phenomena for Martin boundaries of relatively hyperbolic groups
From MaRDI portal
Publication:2660388
DOI10.1007/s00440-020-01000-wOpenAlexW3090692875WikidataQ115607517 ScholiaQ115607517MaRDI QIDQ2660388
Matthieu Dussaule, Ilya Gekhtman
Publication date: 30 March 2021
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.01577
Geometric group theory (20F65) Martin boundary theory (31C35) Hyperbolic groups and nonpositively curved groups (20F67) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items (2)
Local limit theorems in relatively hyperbolic groups I: rough estimates ⋮ Local limit theorems in relatively hyperbolic groups II: the non-spectrally degenerate case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity of the entropy for random walks on hyperbolic groups
- 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
- Quasiconvexity in relatively hyperbolic groups
- The ratio set of the harmonic measure of a random walk on a hyperbolic group
- Relative hyperbolicity and relative quasiconvexity for countable groups.
- Expansive convergence groups are relatively hyperbolic.
- Martin boundaries of random walks on Fuchsian groups
- Random walks on discrete groups: Boundary and entropy
- Entropy and drift in word hyperbolic groups
- Floyd maps for relatively hyperbolic groups.
- The Martin boundary of a free product of abelian groups
- Geometrical finiteness for hyperbolic groups
- Non-negative matrices and Markov chains.
- Dynamic theory of growth in groups: Entropy, boundaries, examples
- RELATIVELY HYPERBOLIC GROUPS
- Growth tightness for groups with contracting elements
- Phase transitions for random walk asymptotics on free products of groups
- Local limit theorem for symmetric random walks in Gromov-hyperbolic groups
- Foundations of Hyperbolic Manifolds
- Free Subgroups of Groups with Nontrivial Floyd Boundary
- Classifying Spaces and Boundaries for Relatively Hyperbolic Groups
- A topological characterisation of relatively hyperbolic groups
- Random Walk on a Co-Compact Fuchsian Group
- Random Walks on Infinite Graphs and Groups
- The Martin Boundary for Random Walk
- The Poisson formula for groups with hyperbolic properties
This page was built for publication: Stability phenomena for Martin boundaries of relatively hyperbolic groups
