With a contributed chapter by Yann Chaubet.
| Hardcover ISBN: | 978-2-37905-221-7 |
| Product Code: | COSP/32 |
| List Price: | $140.00 |
| AMS Member Price: | $112.00 |
With a contributed chapter by Yann Chaubet.
| Hardcover ISBN: | 978-2-37905-221-7 |
| Product Code: | COSP/32 |
| List Price: | $140.00 |
| AMS Member Price: | $112.00 |
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Book DetailsCours SpécialisésVolume: 32; 2026; 526 ppMSC: Primary 35; 37; 53
The statistical properties of hyperbolic dynamical systems—such as ergodicity and mixing—can be studied through spectral theory, in particular via anisotropic Sobolev spaces of distributions. In settings where the geodesic flow exhibits hyperbolic features, rigidity phenomena in Riemannian geometry—showing that certain spectral or geometric invariants determine the underlying geometry—can likewise be addressed using microlocal analysis.
This book offers a comprehensive introduction to microlocal analysis and its applications to hyperbolic dynamics and Riemannian rigidity. It is intended for graduate students and researchers seeking to familiarize themselves with these powerful techniques.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and researchers looking for a comprehensive introduction to microlocal analysis and its applications to hyperbolic dynamics and Riemannian rigidity.
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The statistical properties of hyperbolic dynamical systems—such as ergodicity and mixing—can be studied through spectral theory, in particular via anisotropic Sobolev spaces of distributions. In settings where the geodesic flow exhibits hyperbolic features, rigidity phenomena in Riemannian geometry—showing that certain spectral or geometric invariants determine the underlying geometry—can likewise be addressed using microlocal analysis.
This book offers a comprehensive introduction to microlocal analysis and its applications to hyperbolic dynamics and Riemannian rigidity. It is intended for graduate students and researchers seeking to familiarize themselves with these powerful techniques.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and researchers looking for a comprehensive introduction to microlocal analysis and its applications to hyperbolic dynamics and Riemannian rigidity.
