Symbolic Dynamics for Surface Diffeomorphisms with Positive Entropy
نویسنده
چکیده
Part 1. Chains as pseudo–orbits 8 2. Pesin charts 8 2.1. Non-uniform hyperbolicity 8 2.2. Lyapunov change of coordinates 8 2.3. Pesin Charts 10 2.4. Distortion compensating bounds 11 2.5. NUHχ (f) 11 3. Overlapping charts 11 3.1. The overlap condition 12 3.2. The form of f in overlapping charts 14 3.3. Coarse graining 16 4. ε–chains and an infinite-to-one Markov extension of f 18 4.1. Double charts and ε–chains 18 4.2. Admissible manifolds and the graph transform 20 4.3. A Markov extension 23 4.4. The relevant part of the extension 27
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