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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
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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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 47; 1984; 121 ppMSC: Primary 58; Secondary 65;
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Table of Contents
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Chapters
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Introduction
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Part I. Analysis of doubling
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1. Feigenbaum universality for area-preserving maps
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2. Generating functions
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3. Further reduction of the problem
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4. Spectral properties
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5. Construction of the operator $\mathcal {L}$
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6. Construction of the doubling operator
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Part II. Functional analysis on the computer
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1. Interval and neighborhood arithmetics
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2. Spectral theory
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3. Interval and neighborhood arithmetics on a computer
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List of correspondence
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Part III. Proofs
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1. Computer program
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2. Program output
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 47; 1984; 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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.