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Spectrum and dynamics : proceedings of the workshop held in Montreal, QC, April 7--11, 2008 / Dmitry Jakobson, Stephane Nonnenmacher, Iosif Polterovich, editors.
- Format:
- Book
- Series:
- CRM proceedings & lecture notes ; Volume 52.
- CRM Proceedings & Lecture Notes ; Volume 52
- Language:
- English
- Subjects (All):
- Differentiable dynamical systems--Congresses.
- Differentiable dynamical systems.
- Spectral theory (Mathematics)--Congresses.
- Spectral theory (Mathematics).
- Differentiable manifolds--Congresses.
- Differentiable manifolds.
- Physical Description:
- 1 online resource (215 pages) : illustrations.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 2010.
- Summary:
- 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.
- Contents:
- Notes on the minicourse "Entropy of chaotic eigenstates" / Stéphane Nonnenmacher
- Geometry of the high energy limit of differential operators on vector bundles / Alexander Strohmaier
- Classical and quantum dynamics in transverse geometry of Riemannian foliations / Yuri A. Kordyukov
- Eigenvalue variations and semiclassical concentration / Luc Hillairet
- A remainder estimate for Weyl's law on Liouville Tori / Hugues Lapointe
- Embedded eigenvalues for Cartan-Hadamard manifolds / Harold Donnelly
- On minimal partitions : new properties and applications to the disk / Bernard Helffer and Thomas Hoffmann-Ostenhof
- Asymptotic vertex growth for graphs / Mark Pollicott
- Nearest [lambda subscript q]-multiple fractions / Dieter Mayer and Tobias Mühlenbruch
- Comparing length functions on free groups / Richard Sharp.
- Notes:
- Includes bibliographical references at the end of each chapters.
- Description based on print version record.
- ISBN:
- 1-4704-1586-0
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