Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

1977 • 1,403 citations

A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems.

1968 • 1,302 citations

Entropy for group endomorphisms and homogeneous spaces

1971 • 1,025 citations

Ergodic theory of differentiable dynamical systems

1979 • 654 citations

Diffeomorphisms with Many Periodic Points

1965 • 482 citations

An inequality for the entropy of differentiable maps

1978 • 411 citations

Periodic points and measures for Axiom $A$ diffeomorphisms

1971 • 342 citations

Some systems with unique equilibrium states

1974 • 336 citations

FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS

1976 • 328 citations

PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS

1974 • 321 citations

Periodic Orbits for Hyperbolic Flows

1972 • 304 citations

A proof of Oseledec’s multiplicative ergodic theorem

1979 • 208 citations

Differentiable dynamics

2008 • 193 citations

ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS

1971 • 134 citations

GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS

1977 • 72 citations

Description of ?-partition of a diffeomorphism with invariant measure

1977 • 12 citations

The estimation from above for the topological entropy of a diffeomorphism

1980 • 10 citations

Deleted Work

1955 • 0 citations