Lecture Notes in Mathematics

Ergodic Theory and Negative Curvature

CIRM Jean-Morlet Chair, Fall 2013

Editors: Hasselblatt, Boris (Ed.)

  • Accessible to graduate students
  • Provides introductions leading to the forefront of several current research areas
  • A broad sampling of ergodic geometry
see more benefits

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-43059-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-43058-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study. 

The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard's original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation.



Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-319-43059-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-319-43058-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Ergodic Theory and Negative Curvature
Book Subtitle
CIRM Jean-Morlet Chair, Fall 2013
Editors
  • Boris Hasselblatt
Series Title
Lecture Notes in Mathematics
Series Volume
2164
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-43059-1
DOI
10.1007/978-3-319-43059-1
Softcover ISBN
978-3-319-43058-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VII, 328
Number of Illustrations and Tables
51 b/w illustrations, 17 illustrations in colour
Topics