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 : 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
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Vendeur : Majestic Books, Hounslow, Royaume-Uni
Etat : New. pp. 196. N° de réf. du vendeur 58090271
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Vendeur : Books Puddle, Woodside, NY, Etats-Unis
Etat : New. pp. 196 Index 3rd Edition. N° de réf. du vendeur 2650453696
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Vendeur : Books in my Basket, New Delhi, Inde
Hardcover. Etat : New. ISBN:9789380250434. N° de réf. du vendeur 2296140
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Vendeur : Romtrade Corp., STERLING HEIGHTS, MI, Etats-Unis
Etat : New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. N° de réf. du vendeur ABBB-259310
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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 : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : New. N° de réf. du vendeur 19802341-n
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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
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 19802341
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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
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