| Hardcover ISBN: | 978-1-4704-6503-2 |
| Product Code: | GSM/249 |
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| eBook ISBN: | 978-1-4704-7925-1 |
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| Softcover ISBN: | 978-1-4704-7924-4 |
| eBook: ISBN: | 978-1-4704-7925-1 |
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| MAA Member Price: | $156.60 $118.35 |
| AMS Member Price: | $139.20 $105.20 |
| Hardcover ISBN: | 978-1-4704-6503-2 |
| Product Code: | GSM/249 |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| Softcover ISBN: | 978-1-4704-7924-4 |
| Product Code: | GSM/249.S |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-1-4704-7925-1 |
| Product Code: | GSM/249.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7924-4 |
| eBook ISBN: | 978-1-4704-7925-1 |
| Product Code: | GSM/249.S.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $156.60 $118.35 |
| AMS Member Price: | $139.20 $105.20 |
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Book DetailsGraduate Studies in MathematicsVolume: 249; 2024; 626 ppMSC: Primary 35; 47; 52; 58; 82
The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks. The current volume addresses specific classes of operators, including the important examples of random and almost-periodic operators. The text serves as a self-contained introduction to the field for junior researchers and beginning graduate students, as well as a reference text for people already working in this area.
The general theory of one-dimensional ergodic operators was presented in the book by the same authors as volume 221 in the Graduate Studies in Mathematics series.
ReadershipGraduate students and researchers interested in differential operators with ergodic coefficients.
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Table of Contents
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Chapters
-
Highlights from Part I
-
Part II. Specific classes
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Random potentials
-
Almost-periodic potentials
-
Periodic potentials
-
Limit-periodic potentials
-
Quasi-periodic potentials
-
Subshift potentials
-
Appendices
-
Continued fractions
-
Topological groups
-
A crash course in combinatorial word theory
-
List of open problems
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks. The current volume addresses specific classes of operators, including the important examples of random and almost-periodic operators. The text serves as a self-contained introduction to the field for junior researchers and beginning graduate students, as well as a reference text for people already working in this area.
The general theory of one-dimensional ergodic operators was presented in the book by the same authors as volume 221 in the Graduate Studies in Mathematics series.
Graduate students and researchers interested in differential operators with ergodic coefficients.
-
Chapters
-
Highlights from Part I
-
Part II. Specific classes
-
Random potentials
-
Almost-periodic potentials
-
Periodic potentials
-
Limit-periodic potentials
-
Quasi-periodic potentials
-
Subshift potentials
-
Appendices
-
Continued fractions
-
Topological groups
-
A crash course in combinatorial word theory
-
List of open problems
