Schottky groups and counting.
From MaRDI portal
Publication:1777618
DOI10.5802/aif.2102zbMath1087.22010OpenAlexW2477557444MaRDI QIDQ1777618
Publication date: 25 May 2005
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_2_373_0
Discrete subgroups of Lie groups (22E40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Differential geometry of symmetric spaces (53C35)
Related Items (16)
Fourier decay, renewal theorem and spectral gaps for random walks on split semisimple Lie groups ⋮ Ping-pong groups and counting functions ⋮ Random walks on projective spaces ⋮ Counting problems for special-orthogonal Anosov representations ⋮ Anosov groups: local mixing, counting and equidistribution ⋮ A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures ⋮ Ergodicity and equidistribution in Hilbert geometry ⋮ Stationary measures and invariant subsets of homogeneous spaces. II. ⋮ Growth of conjugacy classes of Schottky groups in higher rank symmetric spaces ⋮ A strongly irreducible affine iterated function system with two invariant measures of maximal dimension ⋮ Quantitative properties of convex representations ⋮ The orbital counting problem for hyperconvex representations ⋮ Asymptotic Counting in Conformal Dynamical Systems ⋮ Propriétés de mélange du flot des chambres de Weyl des groupes de Ping-Pong ⋮ The joint spectrum ⋮ On the hyperbolic orbital counting problem in conjugacy classes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Patterson-Sullivan measures in higher rank
- Asymptotic properties of linear groups
- Closed orbits in homology classes
- Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits
- Mixing, counting, and equidistribution in Lie groups
- Exponential divergence of discrete subgroups of higher rank.
- The infinite word problem and limit sets in Fuchsian groups
- Lalley's theorem on periodic orbits of hyperbolic flows
- Prevalence of rapid mixing in hyperbolic flows
- R-REGULAR ELEMENTS IN ZARISKIDENSE SUBGROUPS
- L'indicateur de croissance des groupes de Schottky
- Ergodicité et équidistribution en courbure négative
- Precise counting results for closed orbits of Anosov flows
- Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.
- Linear actions of free groups
- Asymptotic expansions for closed orbits in homology classes.
This page was built for publication: Schottky groups and counting.
