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 Poincare 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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Vendeur : Majestic Books, Hounslow, Royaume-Uni
Etat : New. pp. 196. N° de réf. du vendeur 58090271
Quantité disponible : 4 disponible(s)
Vendeur : Books Puddle, New York, NY, Etats-Unis
Etat : New. pp. 196 Index 3rd Edition. N° de réf. du vendeur 2650453696
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Vendeur : Vedams eBooks (P) Ltd, New Delhi, Inde
Hardcover. Etat : New. Etat de la jaquette : New. 3rd Edition. Contents: Preface. 1. The poincare recurrence Lemma. 2. Ergodic theorems of Birkhoff and von Neumann. 3. Ergodicity. 4. Mixing conditions and their characterisations. 5. Bernoulli shift and related concepts. 6. Discrete Spectrum theorem. 7. Induced automorphisms and related concepts. 8. Borel automorphisms are polish homeomorphisms. 9. The Glimm-Effros theorem. 10. E. Hopf's theorem. 11. H. Dye's theorem. 12. Flows and their representations. References. Index. "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 basic topics of Ergodic theory such as the Poincare 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. These topics have so far not found a place in texts on Ergodic theory. "In the second edition, a section on rank automorphisms and a brief discussion of the Ergodic theorem due to Wiener and Wintner have been added." No. 27283 182 pp. N° de réf. du vendeur 43345
Quantité disponible : 1 disponible(s)
Vendeur : Books in my Basket, New Delhi, Inde
Hardcover. Etat : New. ISBN:9789380250434,Territorial restriction maybe printed on the book. This is an Int'l edition, ISBN and cover may differ from US edition, Contents same as US edition. N° de réf. du vendeur 2521518
Quantité disponible : 1 disponible(s)
Vendeur : Books in my Basket, New Delhi, Inde
Hardcover. Etat : New. ISBN:9789380250434. N° de réf. du vendeur 2296140
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur FW-9789380250434
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Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
Etat : New. Series: Texts and Readings in Mathematics. Num Pages: 224 pages. BIC Classification: PBP. Category: (P) Professional & Vocational. . . 2013. 3rd Edition. Hardcover. . . . . N° de réf. du vendeur V9789380250434
Quantité disponible : 1 disponible(s)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
Hardcover. Etat : Brand New. 3rd edition. 188 pages. 9.50x6.50x0.75 inches. In Stock. N° de réf. du vendeur __9380250436
Quantité disponible : 1 disponible(s)
Vendeur : Kennys Bookstore, Olney, MD, Etats-Unis
Etat : New. Series: Texts and Readings in Mathematics. Num Pages: 224 pages. BIC Classification: PBP. Category: (P) Professional & Vocational. . . 2013. 3rd Edition. Hardcover. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9789380250434
Quantité disponible : 1 disponible(s)