Geodesic flows, interval maps, and symbolic dynamics
From MaRDI portal
Publication:3976872
DOI10.1090/S0273-0979-1991-16076-3zbMath0802.58037MaRDI QIDQ3976872
Publication date: 25 June 1992
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (56)
Weil-Petersson metrics, Manhattan curves and Hausdorff dimension ⋮ Symmetry groups of attractors ⋮ A decoding problem in dynamics and in number theory ⋮ Iterated function systems and dynamical systems ⋮ Backward continued fractions, Hecke groups and invariant measures for transformations of the interval ⋮ Invariant measures for piecewise continuous maps ⋮ The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system ⋮ Correlations of length spectra for negatively curved manifolds ⋮ Applications of (a,b)-continued fraction transformations ⋮ Coboundary equations of eventually expanding transformations ⋮ Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups ⋮ Mather measures and the Bowen-Series transformation. ⋮ Metrical diophantine approximation for continued fraction like maps of the interval ⋮ Hecke groups and continued fractions ⋮ Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles ⋮ The occurrence of locally riddled basins and on-off intermittency in a parametric nonlinear system ⋮ Distribution of approximants and geodesic flows ⋮ Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮ A dependence with complete connections approach to generalized Rényi continued fractions ⋮ β -expansion attractors observed in A/D converters ⋮ Structure of attractors for boundary maps associated to Fuchsian groups ⋮ Almost sure invariance principle for sequential and non-stationary dynamical systems ⋮ Zero-dimensional covers of finite dimensional dynamical systems ⋮ Zeta functions in higher Teichmüller theory ⋮ Veering branched surfaces, surgeries, and geodesic flows ⋮ Continuous deformation of the Bowen-Series map associated to a cocompact triangle group ⋮ In memoriam: Roy Adler (1931--2016) and the lasting impact of his work ⋮ On Lyapunov exponent and sensitivity. ⋮ Statistical regularities of self-intersection counts for geodesics on negatively curved surfaces ⋮ Commensurable continued fractions ⋮ Invariant measures for a class of rational transformations and ergodic properties ⋮ STERN–BROCOT PRESSURE AND MULTIFRACTAL SPECTRA IN ERGODIC THEORY OF NUMBERS ⋮ Slow Continued Fractions and Permutative Representations of ⋮ Correction to: ``Structure of attractors for boundary maps associated to Fuchsian groups ⋮ Analysis of Coexistence and Extinction in a Two-Species Competition Model ⋮ Coding of geodesics and Lorenz-like templates for some geodesic flows ⋮ BETA ENCODERS: SYMBOLIC DYNAMICS AND ELECTRONIC IMPLEMENTATION ⋮ Ergodic theorems for actions of hyperbolic groups ⋮ A new method of coding geodesics on surfaces whose fundamental regions consist of the union of elementary triangles derived from the Farey series ⋮ Comparison theorems and orbit counting in hyperbolic geometry ⋮ The scenery flow for geometric structures on the torus: The linear setting ⋮ Extremal parameters and their duals for boundary maps associated to Fuchsian groups ⋮ Symmetry increasing bifurcations via collisions of attractors ⋮ Generalized continued fractions. ⋮ The symbolic extension theory in topological dynamics ⋮ Finiteness in polygonal billiards on hyperbolic plane ⋮ The conformal measures of a normal subgroup of a cocompact Fuchsian group ⋮ Continued fractions on the Veech surfaces ⋮ Symbolic dynamics for the modular surface and beyond ⋮ Higher Teichmüller Theory for Surface Groups and Shifts of Finite Type ⋮ Quantum maps from transfer operators ⋮ Sampling and Statistical Physics via Symmetry ⋮ Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups ⋮ Correlations for pairs of closed geodesics ⋮ Conformal Markov systems, Patterson-Sullivan measure on limit sets and spectral triples ⋮ Free energy as a geometric invariant
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Markov maps associated with Fuchsian groups
- Symbolic dynamics for geodesic flows
- Sofic systems
- Theory of dynamical systems and general transformation groups with invariant measure
- On the metrical transitivity of the geodesics on closed surfaces of constant negative curvature
- Subshifts of finite type and sofic systems
- On Poincaré's theorem for fundamental polygons
- Geodesic flows are Bernoullian
- Structure and continuity of measurable flows
- Representations for real numbers and their ergodic properties
- Cross section map for the geodesic flow on the modular surface
- The backward continued fraction map and geodesic flow
- Expanding endomorphisms of the circle revisited
- Geometrical Markov coding of geodesics on surfaces of constant negative curvature
- A Note on Minimal Covers for Sofic Systems
- Resolving maps and the dimension group for shifts of finite type
- The infinite word problem and limit sets in Fuchsian groups
- Boundaries of Markov Partitions
- Topological entropy and equivalence of dynamical systems
- An Algorithm for Simple Curves on Surfaces
- Intrinsic Markov Chains
- Simple mathematical models with very complicated dynamics
- Similarity of automorphisms of the torus
- Differentiable dynamical systems
- Markov Partitions for Axiom A Diffeomorphisms
- Markov Partitions and Minimal Sets for Axiom A Diffeomorphisms
- Ergodic theory and the geodesic flow on surfaces of constant negative curvature
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
This page was built for publication: Geodesic flows, interval maps, and symbolic dynamics
