The decay rate of Patterson-Sullivan measures with potential functions and critical exponents
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Publication:2287767
DOI10.1007/s10114-019-8558-3zbMath1430.37039arXiv1810.11133OpenAlexW2990293882MaRDI QIDQ2287767
Publication date: 21 January 2020
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.11133
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Cites Work
- Unnamed Item
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- Entropy-expansiveness of geodesic flows on closed manifolds without conjugate points
- Rufus Bowen (1947-1978)
- Axial isometries of manifolds of non-positive curvature
- The limit set of a Fuchsian group
- The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
- The transitivity of geodesic flows on rank 1 manifolds without focal points
- The higher rank rigidity theorem for manifolds with no focal points
- On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points
- The topological entropy for autonomous Lagrangian systems on compact manifolds whose fundamental groups have exponential growth
- On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points
- Visibility manifolds
- Flat strips, Bowen–Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces
- Equilibrium states in negative curvature
- Finiteness of Gibbs measures on noncompact manifolds with pinched negative curvature
- Sur l'ergodicité rationnelle et les propriétés ergodiques du flot géodésique dans les variétés hyperboliques
- Ergodicité et équidistribution en courbure négative
- HAMILTONIAN SYSTEMS WITH POSITIVE TOPOLOGICAL ENTROPY AND CONJUGATE POINTS
- The ergodic theory of discrete isometry groups on manifolds of variable negative curvature
