Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension

Ermerson Araujo, Yuri Lima, Mauricio Poletti (Autoren)

Buch | Softcover

117 Seiten

2024
American Mathematical Society (Verlag)
978-1-4704-7133-0 (ISBN)

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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

Erscheinungsdatum	14.05.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4704-7133-7 / 1470471337
ISBN-13	978-1-4704-7133-0 / 9781470471330
Zustand	Neuware