Winding of geodesic rays chosen by a harmonic measure
DOI10.1007/s00208-023-02754-zMaRDI QIDQ6624766
Publication date: 28 October 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Gromov-hyperbolic spacesgeodesic raysPatterson-Sullivan measuresharmonic measureshomological winding
Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Nonsingular (and infinite-measure preserving) transformations (37A40)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Central limit theorem for linear groups
- Spectral gap properties for linear random walks and Pareto's asymptotics for affine stochastic recursions
- Matrix random products with singular harmonic measure
- Closed orbits in homology classes
- A new proof of the Hartman-Wintner law of the iterated logarithm
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- Regenerative representation for one-dimensional Gibbs states
- The density at infinity of a discrete group of hyperbolic motions
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- The limit set of a Fuchsian group
- The central limit theorem for the geodesic flow on noncompact manifolds of constant negative curvature
- Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature
- Decrease of Fourier coefficients of stationary measures
- Random walks on weakly hyperbolic groups
- On the regularity of stationary measures
- On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products
- Variational principle and Kleinian groups
- The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature
- Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
- Large deviation asymptotics for Anosov flows
- Cusp excursion in hyperbolic manifolds and singularity of harmonic measure
- Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay
- Random walks with bounded first moment on finite-volume spaces
- The weak specification property for geodesic flows on \(\mathrm{CAT}(-1)\) spaces
- The local limit theorem on nilpotent Lie groups
- Sublinear deviation between geodesics and sample paths
- Word length statistics and Lyapunov exponents for Fuchsian groups with cusps
- Harmonicity of quasiconformal measures and Poisson boundaries of hyperbolic spaces
- Local limit theorems and equidistribution of random walks on the Heisenberg group
- Exact dimension of Furstenberg measures
- Some asymptotic properties of random walks on homogeneous spaces
- Central limit theorem on hyperbolic groups
- Random Walks on Reductive Groups
- Produits de matrices aléatoires et applications aux propriétés géometriques des sous-groupes du groupe linéaire
- Approximation by Brownian motion for Gibbs measures and flows under a function
- Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps
- On the question of ergodicity for minimal group actions on the circle
- [https://portal.mardi4nfdi.de/wiki/Publication:4176727 Th�or�me de la limite centrale sur les groupes nilpotents]
- Asymptotic Singular Homology of a Complete Hyperbolic 3-Manifold of Finite Volume
- Symbolic Dynamics for Hyperbolic Flows
- Ergodicité et équidistribution en courbure négative
- Finitely Supported Measures on $$S{L}_{2}(\mathbb{R})$$ Which are Absolutely Continuous at Infinity
- Fundamental Inequality for Hyperbolic Coxeter and Fuchsian Groups Equipped with Geometric Distances
- Random walk on unipotent matrix groups
- The fundamental inequality for cocompact Fuchsian groups
- Entropy and drift for Gibbs measures on geometrically finite manifolds
- Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions
- Martingale Central Limit Theorems
- On the Stochastic Matrices Associated with Certain Queuing Processes
- Stable windings on hyperbolic surfaces.
- Radon stationary measures for a random walk on \(\mathbb{T}^d\times\mathbb{R}\)
- Central limit theorem and geodesic tracking on hyperbolic spaces and Teichmüller spaces
- Large deviations for random walks on Gromov-hyperbolic spaces
This page was built for publication: Winding of geodesic rays chosen by a harmonic measure
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6624766)