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Springer INdAM Series

Analytic and Probabilistic Approaches to Dynamics in Negative Curvature

Editors: Dal'Bo, Francoise, Peigné, Marc, Sambusetti, Andrea (Eds.)

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  • Quick and mostly self-contained introduction to problems and methods
  • Exposition stays as elementary as possible with key-examples
  • Interesting to mathematicians working on geometry, dynamics, probability, operators theory
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eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-319-04807-9
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Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-04806-2
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Softcover $99.99
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  • Due: October 7, 2016
  • ISBN 978-3-319-38117-6
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About this book

The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions aim to give a self-contained introduction to the ideas behind the three different approaches to the investigation of hyperbolic dynamics. The first contribution focus on the convergence towards a Gaussian law of suitably normalized ergodic sums (Central Limit Theorem). The second one deals with Transfer Operators and the structure of their spectrum (Ruelle-Pollicott resonances), explaining the relation with the asymptotics of time correlation function and the periodic orbits of the dynamics.

Table of contents (2 chapters)

Table of contents (2 chapters)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-319-04807-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-04806-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: October 7, 2016
  • ISBN 978-3-319-38117-6
  • Free shipping for individuals worldwide
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
Editors
  • Francoise Dal'Bo
  • Marc Peigné
  • Andrea Sambusetti
Series Title
Springer INdAM Series
Series Volume
9
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04807-9
DOI
10.1007/978-3-319-04807-9
Hardcover ISBN
978-3-319-04806-2
Softcover ISBN
978-3-319-38117-6
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XI, 138
Number of Illustrations
20 b/w illustrations, 12 illustrations in colour
Topics