Ergodic Theory, Randomness, and "Chaos"

CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

1977 • 1,403 citations

Entropy and isomorphism theorems for actions of amenable groups

1987 • 631 citations

Bernoulli shifts with the same entropy are isomorphic

1970 • 488 citations

Topological entropy and equivalence of dynamical systems

1979 • 210 citations

Billiards and Bernoulli schemes

1974 • 157 citations

Equivalence of measure preserving transformations

1982 • 147 citations

Similarity of automorphisms of the torus

1970 • 145 citations

Bernoulli Schemes of the Same Entropy are Finitarily Isomorphic

1979 • 139 citations

Geodesic flows are Bernoullian

1973 • 121 citations

Ergodic Theory, Entropy

1971 • 118 citations

NewK-automorphisms and a problem of Kakutani

1976 • 117 citations

Factors of Bernoulli shifts are Bernoulli shifts

1970 • 99 citations

Quelques proprietes des systemes dynamiques qui se decomposent en un produit de deux systemes dont l’un est un schema de Bernoulli

1975 • 90 citations

Classifying the isometric extensions of a Bernoulli shift

1978 • 82 citations

Anosov flows with gibbs measures are also Bernoullian

1974 • 80 citations

An uncountable family of K-automorphisms

1973 • 69 citations

An example of a Kolmogorov automorphism that is not a Bernoulli shift

1973 • 53 citations

Restricted orbit equivalence

1985 • 40 citations

A K automorphism with no square root and Pinsker's conjecture

1973 • 36 citations

The isomorphism theorem for Bernoulli flows

1973 • 34 citations

A mixing transformation for which Pinsker's conjecture fails

1973 • 32 citations

r-entropy, equipartition, and Ornstein’s isomorphism theorem inR n

1980 • 29 citations

On the stability of the weak Pinsker property

1977 • 23 citations

Formation of auxiliary personnel for incorporation into the dental health team.

1976 • 1 citations