Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension
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Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension

Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension

AMERICAN MATHEMATICAL SOCIETYISBN: 9781470471330
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By Ermerson Araujo, Yuri Lima, Mauricio Poletti
Imprint: AMERICAN MATHEMATICAL SOCIETY
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Format: PAPERBACK
Dimensions: 254 x 178 mm
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Pages: 117

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Description

Ermerson Araujo, Universidade Federal do Ceara, Fortaleza, Brazil. Yuri Lima, Universidade Federal do Ceara, Fortaleza, Brazil. Mauricio Poletti, Universidade Federal do Ceara, Fortaleza, Brazil, and Universite Paris-Saclay, Orsay, France.

1. Introduction 2. Preliminaries 1. Proof of the Main Theorem 3. Pesin theory 4. Overlap, double charts, and graph transforms 5. Coarse graining 6. The inverse problem 7. Symbolic dynamics 2. Applications 8. Equilibrium measures 9. Exponential growth rate of periodic orbits 10. Flows with positive speed 11. Multidimensional billiards 12. Viana maps A. The graph transform method

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