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The Ergodic Theory of Axiom A Flows

Data up to Jan 2025

Published1975
Citations631
References23

Total Citations Per Year

Abstract

References (23)

Differentiable dynamical systems

1967 • 2,865 citations

Differentiable Dynamical Systems

1980 • 2,674 citations

GIBBS MEASURES IN ERGODIC THEORY

1972 • 1,011 citations

Statistical mechanics of a one-dimensional lattice gas

1968 • 501 citations

Symbolic Dynamics for Hyperbolic Flows

1973 • 446 citations

A MEASURE ASSOCIATED WITH AXIOM-A ATTRACTORS

1995 • 433 citations

Stable manifolds for hyperbolic sets

1969 • 410 citations

A Variational Principle for the Pressure of Continuous Transformations

1975 • 370 citations

Markov partitions and C-diffeomorphisms

1968 • 361 citations

Periodic points and measures for Axiom $A$ diffeomorphisms

1971 • 342 citations

Some systems with unique equilibrium states

1974 • 336 citations

Periodic Orbits for Hyperbolic Flows

1972 • 304 citations

Expansive one-parameter flows

1972 • 265 citations

Neighborhoods of hyperbolic sets

1970 • 181 citations

ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS

1971 • 134 citations

Statistical mechanics on a compact set with $Z^{v}$ action satisfying expansiveness and specification

1973 • 131 citations

Ergodicity of Anosov actions

1972 • 122 citations

The ?-stability theorem for flows

1970 • 94 citations

Anosov flows with gibbs measures are also Bernoullian

1974 • 80 citations

Analyticity of correlation functions in one-dimensional classical systems with slowly decreasing potentials

1973 • 78 citations

Certain measures associated with U-flows on compact manifolds

1970 • 73 citations

Bernoulli equilibrium states for axiom A diffeomorphisms

1974 • 39 citations

Maximizing entropy for a hyperbolic flow

1973 • 33 citations

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