Basic Ergodic Theory
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A01=M. G. Nadkarni
Author_M. G. Nadkarni
Category1=Non-Fiction
Category=NL-PB
Category=PBP
COP=India
Discount=15
eq_isMigrated=2
eq_nobargain
Format=BB
Format_Hardback
HMM=235
IMPN=Hindustan Book Agency
ISBN13=9789380250434
Language_English
NWS=6
PA=Available
PD=20130115
POP=New Delhi
Price_€50 to €100
PS=Active
PUB=Hindustan Book Agency
SN=Texts and Readings in Mathematics
Subject=Mathematics
WMM=155
Product details
- ISBN 9789380250434
- Format: Hardback
- Weight: 500g
- Dimensions: 155 x 235mm
- Publication Date: 30 Jan 2013
- Publisher: Hindustan Book Agency
- Publication City/Country: New Delhi, IN
- Product Form: Hardback
- Language: English
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This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincaré recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed.
In the third edition a chapter entitled `Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.
In the third edition a chapter entitled `Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.
