The paper establishes quantitative versions of the stable manifold theorem, shadowing lemma, spectral decomposition, Markov partitions, and Hölder coding for Axiom A diffeomorphisms to transfer symbolic dynamics to the smooth setting.
Dynamical Systems, Warwick 1974, Lecture Notes in Mathematics 468
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Uniform Hyperbolicity and Symbolic Dynamics: Markov Partitions, Shadowing, and the Coding of Axiom A Diffeomorphisms
The paper establishes quantitative versions of the stable manifold theorem, shadowing lemma, spectral decomposition, Markov partitions, and Hölder coding for Axiom A diffeomorphisms to transfer symbolic dynamics to the smooth setting.