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A Computer-Assisted Proof of Universality for Area-Preserving Maps
 
Front Cover for A Computer-Assisted Proof of Universality for Area-Preserving Maps
Available Formats:
Electronic ISBN: 978-1-4704-0699-8
Product Code: MEMO/47/289.E
List Price: $24.00
MAA Member Price: $21.60
AMS Member Price: $14.40
Front Cover for A Computer-Assisted Proof of Universality for Area-Preserving Maps
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A Computer-Assisted Proof of Universality for Area-Preserving Maps
Available Formats:
Electronic ISBN:  978-1-4704-0699-8
Product Code:  MEMO/47/289.E
List Price: $24.00
MAA Member Price: $21.60
AMS Member Price: $14.40
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 471984; 121 pp
    MSC: Primary 58; Secondary 65;
  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Part I. Analysis of doubling
    • 1. Feigenbaum universality for area-preserving maps
    • 2. Generating functions
    • 3. Further reduction of the problem
    • 4. Spectral properties
    • 5. Construction of the operator $\mathcal {L}$
    • 6. Construction of the doubling operator
    • Part II. Functional analysis on the computer
    • 1. Interval and neighborhood arithmetics
    • 2. Spectral theory
    • 3. Interval and neighborhood arithmetics on a computer
    • List of correspondence
    • Part III. Proofs
    • 1. Computer program
    • 2. Program output
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Volume: 471984; 121 pp
MSC: Primary 58; Secondary 65;
  • Chapters
  • Introduction
  • Part I. Analysis of doubling
  • 1. Feigenbaum universality for area-preserving maps
  • 2. Generating functions
  • 3. Further reduction of the problem
  • 4. Spectral properties
  • 5. Construction of the operator $\mathcal {L}$
  • 6. Construction of the doubling operator
  • Part II. Functional analysis on the computer
  • 1. Interval and neighborhood arithmetics
  • 2. Spectral theory
  • 3. Interval and neighborhood arithmetics on a computer
  • List of correspondence
  • Part III. Proofs
  • 1. Computer program
  • 2. Program output
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