Cantitate/Preț
Produs

Typical Dynamics of Volume Preserving Homeomorphisms: Cambridge Tracts in Mathematics, cartea 139

Autor Steve Alpern, V. S. Prasad
en Limba Engleză Paperback – 17 feb 2011
This 2000 book provides a self-contained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit n-dimensional cube, and they go on to prove fixed point theorems (Conley–Zehnder– Franks). This is done in a number of short self-contained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 18535 lei  6-8 săpt.
  Cambridge University Press – 17 feb 2011 18535 lei  6-8 săpt.
Hardback (1) 68445 lei  6-8 săpt.
  Cambridge University Press – 29 mar 2001 68445 lei  6-8 săpt.

Din seria Cambridge Tracts in Mathematics

Preț: 18535 lei

Puncte Express: 278

Preț estimativ în valută:
3551 3847$ 3045£

Carte tipărită la comandă

Livrare economică 09-23 mai

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780521172431
ISBN-10: 0521172438
Pagini: 238
Dimensiuni: 152 x 229 x 14 mm
Greutate: 0.35 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

Historical Preface; General outline; Part I. Volume Preserving Homomorphisms of the Cube: 1. Introduction to Parts I and II (compact manifolds); 2. Measure preserving homeomorphisms; 3. Discrete approximations; 4. Transitive homeomorphisms of In and Rn; 5. Fixed points and area preservation; 6. Measure preserving Lusin theorem; 7. Ergodic homeomorphisms; 8. Uniform approximation in G[In, λ] and generic properties in Μ[In, λ]; Part II. Measure Preserving Homeomorphisms of a Compact Manifold: 9. Measures on compact manifolds; 10. Dynamics on compact manifolds; Part III. Measure Preserving Homeomorphisms of a Noncompact Manifold: 11. Introduction to Part III; 12. Ergodic volume preserving homeomorphisms of Rn; 13. Manifolds where ergodic is not generic; 14. Noncompact manifolds and ends; 15. Ergodic homeomorphisms: the results; 16. Ergodic homeomorphisms: proof; 17. Other properties typical in M[X, μ]; Appendix 1. Multiple Rokhlin towers and conjugacy approximation; Appendix 2. Homeomorphic measures; Bibliography; Index.

Recenzii

Review of the hardback: 'An interesting piece of research for the specialist.' Mathematika
Review of the hardback: 'The authors of this book are undoubtedly the experts of generic properties of measure preserving homeomorphisms of compact and locally compact manifolds, continuing and extending ground-breaking early work by J. C. Oxtoby and S. M. Ulam. The book is very well and carefully written and is an invaluable reference for anybody working on the interface between topological dymanics and ergodic theory.' Monatshefte für Mathematik

Descriere

A self-contained introduction to typical properties of volume preserving homeomorphisms.