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Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension
 
Ermerson Araujo Universidade Federal do Ceará, Fortaleza, Brazil
Yuri Lima Universidade Federal do Ceará, Fortaleza, Brazil
Mauricio Poletti Universidade Federal do Ceará, Fortaleza, Brazil and Université Paris-Saclay, Orsay, France
Softcover ISBN:  978-1-4704-7133-0
Product Code:  MEMO/301/1511
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7955-8
Product Code:  MEMO/301/1511.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7133-0
eBook: ISBN:  978-1-4704-7955-8
Product Code:  MEMO/301/1511.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension
Ermerson Araujo Universidade Federal do Ceará, Fortaleza, Brazil
Yuri Lima Universidade Federal do Ceará, Fortaleza, Brazil
Mauricio Poletti Universidade Federal do Ceará, Fortaleza, Brazil and Université Paris-Saclay, Orsay, France
Softcover ISBN:  978-1-4704-7133-0
Product Code:  MEMO/301/1511
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7955-8
Product Code:  MEMO/301/1511.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7133-0
eBook ISBN:  978-1-4704-7955-8
Product Code:  MEMO/301/1511.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3012024; 117 pp
    MSC: Primary 37

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3012024; 117 pp
MSC: Primary 37

View the abstract.

  • Chapters
  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.