Invariant measures of the topological flow and measures at infinity on hyperbolic groups

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Hyperbolic groups and nonpositively curved groups (20F67) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

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Strong hyperbolicity
The pressure metric for Anosov representations
Representations of polygons of finite groups.
Some characterizations of domination
Martin boundary of random walks with unbounded jumps in hyperbolic groups
The ratio set of the harmonic measure of a random walk on a hyperbolic group
Markov maps associated with Fuchsian groups
Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
Embeddings of Gromov hyperbolic spaces
Entropy and drift in word hyperbolic groups
Growth tightness for word hyperbolic groups.
Symbolic coding for the geodesic flow associated to a word hyperbolic group.
Growth of conjugacy classes in Gromov hyperbolic groups.
Anosov representations and dominated splittings
Strong symbolic dynamics for geodesic flows on \(\operatorname{CAT}(-1)\) spaces and other metric Anosov flows
Flows and joins of metric spaces
Quantitative properties of convex representations
Proper actions on reductive homogeneous spaces
Some asymptotic properties of random walks on free groups
The ergodic theory of hyperbolic groups.
Hausdorff spectrum of harmonic measure
Combable functions, quasimorphisms, and the central limit theorem
An introduction to pressure metrics for higher Teichmüller spaces
Symbolic Dynamics for Smale Flows
Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.
Remarques sur le spectre des longueurs d'une surface et comptages
Fundamental Inequality for Hyperbolic Coxeter and Fuchsian Groups Equipped with Geometric Distances
The fundamental inequality for cocompact Fuchsian groups
Topological flows for hyperbolic groups
Harmonic measures versus quasiconformal measures for hyperbolic groups
The space of metric structures on hyperbolic groups

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