| Softcover ISBN: | 978-0-8218-4778-7 |
| Product Code: | CRMP/52 |
| List Price: | $117.00 |
| MAA Member Price: | $105.30 |
| AMS Member Price: | $93.60 |
| eBook ISBN: | 978-1-4704-1586-0 |
| Product Code: | CRMP/52.E |
| List Price: | $110.00 |
| MAA Member Price: | $99.00 |
| AMS Member Price: | $88.00 |
| Softcover ISBN: | 978-0-8218-4778-7 |
| eBook: ISBN: | 978-1-4704-1586-0 |
| Product Code: | CRMP/52.B |
| List Price: | $227.00 $172.00 |
| MAA Member Price: | $204.30 $154.80 |
| AMS Member Price: | $181.60 $137.60 |
| Softcover ISBN: | 978-0-8218-4778-7 |
| Product Code: | CRMP/52 |
| List Price: | $117.00 |
| MAA Member Price: | $105.30 |
| AMS Member Price: | $93.60 |
| eBook ISBN: | 978-1-4704-1586-0 |
| Product Code: | CRMP/52.E |
| List Price: | $110.00 |
| MAA Member Price: | $99.00 |
| AMS Member Price: | $88.00 |
| Softcover ISBN: | 978-0-8218-4778-7 |
| eBook ISBN: | 978-1-4704-1586-0 |
| Product Code: | CRMP/52.B |
| List Price: | $227.00 $172.00 |
| MAA Member Price: | $204.30 $154.80 |
| AMS Member Price: | $181.60 $137.60 |
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Book DetailsCRM Proceedings & Lecture NotesVolume: 52; 2010; 207 ppMSC: Primary 58; 37; Secondary 35
This volume contains a collection of papers presented at the workshop on Spectrum and Dynamics held at the CRM in April 2008. In recent years, many new exciting connections have been established between the spectral theory of elliptic operators and the theory of dynamical systems. A number of articles in the proceedings highlight these discoveries. The volume features a diversity of topics, such as quantum chaos, spectral geometry, semiclassical analysis, number theory and ergodic theory. Apart from the research papers aimed at the experts, this book includes several survey articles accessible to a broad mathematical audience.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
ReadershipGraduate students and research mathematicians interested in PDEs on manifolds and dynamical systems with hyperbolic behavior.
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Table of Contents
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Chapters
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Notes on the minicourse “Entropy of chaotic eigenstates”
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Geometry of the high energy limit on differential operators on vector bundles
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Classical and quantum dynamics in transverse geometry of Riemannian foliations
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Eigenvalue variations and semiclassical concentration
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A remainder estimate for Weyl’s law on Liouville tori
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Embedding eigenvalues for Cartan-Hadamard manifolds
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On minimal partitions: New properties and applications to the disk
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Asymptotic vertex growth for graphs
-
Nearest $\lambda _q$-multiple fractions
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Comparing length functions on free groups
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains a collection of papers presented at the workshop on Spectrum and Dynamics held at the CRM in April 2008. In recent years, many new exciting connections have been established between the spectral theory of elliptic operators and the theory of dynamical systems. A number of articles in the proceedings highlight these discoveries. The volume features a diversity of topics, such as quantum chaos, spectral geometry, semiclassical analysis, number theory and ergodic theory. Apart from the research papers aimed at the experts, this book includes several survey articles accessible to a broad mathematical audience.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Graduate students and research mathematicians interested in PDEs on manifolds and dynamical systems with hyperbolic behavior.
-
Chapters
-
Notes on the minicourse “Entropy of chaotic eigenstates”
-
Geometry of the high energy limit on differential operators on vector bundles
-
Classical and quantum dynamics in transverse geometry of Riemannian foliations
-
Eigenvalue variations and semiclassical concentration
-
A remainder estimate for Weyl’s law on Liouville tori
-
Embedding eigenvalues for Cartan-Hadamard manifolds
-
On minimal partitions: New properties and applications to the disk
-
Asymptotic vertex growth for graphs
-
Nearest $\lambda _q$-multiple fractions
-
Comparing length functions on free groups
