scientific article

zbMath0563.58016MaRDI QIDQ3676852

Anatole Katok

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

invariant measureexponential growthnonuniform hyperbolicitypositive topological entropy

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Topological methods in surface dynamics ⋮ Approximate topological conjugacy ⋮ Foliations with leaves of nonpositive curvature ⋮ Arcwise connectedness of the set of ergodic measures of hereditary shifts ⋮ Lyapunov spectrum for geodesic flows of rank 1 surfaces ⋮ Measurable weighted shadowing for random dynamical systems on Banach spaces ⋮ Measures of intermediate entropies and homogeneous dynamics ⋮ Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds ⋮ Anatole Katok ⋮ Growth rate of periodic orbits for geodesic flows over surfaces with radially symmetric focusing caps ⋮ Symbolic dynamics for surface diffeomorphisms with positive entropy ⋮ Differentiability of entropy for Anosov and geodesic flows ⋮ Ergodic universality of some topological dynamical systems ⋮ Approximation property on entropies for surface diffeomorphisms ⋮ Ergodic measures of intermediate entropy for affine transformations of nilmanifolds ⋮ Zero-entropy dynamical systems with the gluing orbit property ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

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