Smooth Ergodic Theory for Endomorphisms (Lecture Notes in Mathematics) Paperback - 2009 - 20th Edition
by Qian, Min; Xie, Jian-Sheng; Zhu, Shu
From the rear cover
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms, mainly concerning the relations between entropy, Lyapunov exponents and dimensions.
The authors make extensive use of the combination of the inverse limit space technique and the techniques developed to tackle random dynamical systems. The most interesting results in this book are (1) the equivalence between the SRB property and Pesin's entropy formula; (2) the generalized Ledrappier-Young entropy formula; (3) exact-dimensionality for weakly hyperbolic diffeomorphisms and for expanding maps. The proof of the exact-dimensionality for weakly hyperbolic diffeomorphisms seems more accessible than that of Barreira et al. It also inspires the authors to argue to what extent the famous Eckmann-Ruelle conjecture and many other classical results for diffeomorphisms and for flows hold true.
After a careful reading of the book, one can systematically learn the Pesin theory for endomorphisms as well as the typical tricks played in the estimation of the number of balls of certain properties, which are extensively used in Chapters IX and X.
Details
- Title Smooth Ergodic Theory for Endomorphisms (Lecture Notes in Mathematics)
- Author Qian, Min; Xie, Jian-Sheng; Zhu, Shu
- Binding Paperback
- Edition number 20th
- Edition 20
- Pages 277
- Language ENG
- Publisher Springer
- Date 2009
- ISBN 9783642019531
More Copies for Sale
Smooth Ergodic Theory for Endomorphisms
by Min Qian; Jian-Sheng Xie; Shu Zhu
- Used
- near fine
- Paperback
- Condition
- Used - Near Fine
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9783642019531 / 3642019536
- Quantity Available
- 1
- Seller
-
Corvallis, Oregon, United States
- Item Price
-
$50.00$40.00Save $10.00!FREE shipping to USA
Show Details
Smooth Ergodic Theory for Endomorphisms
by Min Qian Shu Zhu Jian-Sheng Xie
- Used
- Condition
- Used
- ISBN 10 / ISBN 13
- 9783642019531 / 3642019536
- Quantity Available
- 1
- Seller
-
Woodside, New York, United States
- Item Price
-
$46.78$3.99 shipping to USA
Show Details
Smooth Ergodic Theory for Endomorphisms
by Min Qian
- New
- Condition
- New
- ISBN 10 / ISBN 13
- 9783642019531 / 3642019536
- Quantity Available
- 539
- Seller
-
Uxbridge, Greater London, United Kingdom
- Item Price
-
$67.31$10.12 shipping to USA
Show Details
Smooth Ergodic Theory for Endomorphisms
by Min Qian
- New
- Paperback
- Condition
- New
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9783642019531 / 3642019536
- Quantity Available
- 10
- Seller
-
Southport, Merseyside, United Kingdom
- Item Price
-
$76.17$12.60 shipping to USA
Show Details
Smooth Ergodic Theory For Endomorphisms
by Qian
- New
- Paperback
- Condition
- Brand New
- Binding
- Paperback
- ISBN 10 / ISBN 13
- 9783642019531 / 3642019536
- Quantity Available
- 1
- Seller
-
New Delhi, India
- Item Price
-
$79.20FREE shipping to USA