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Ergodic theory of fibred systems and metric number theory

Author: Fritz Schweiger
Publisher: Oxford : Clarendon Press ; New York : Oxford University Press, 1995.
Series: Oxford science publications.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Several questions of metric number theory can be handled by the application of ergodic theory. Such an application is possible if an appropriate dynamical system (fibred system) can be constructed  Read more...

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Additional Physical Format: Online version:
Schweiger, Fritz.
Ergodic theory of fibred systems and metric number theory.
Oxford : Clarendon Press ; New York : Oxford University Press, 1995
(OCoLC)624454532
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Fritz Schweiger
ISBN: 0198534884 9780198534884
OCLC Number: 31607841
Description: xiii, 295 pages ; 25 cm.
Contents: 1. Basic definitions --
2. Series expansions --
3. Continued fractions --
4. Algorithms of 'cotangent type' --
5. Unimodal and other maps --
6. Multidimensional continued fractions --
7. Maps on the real axis --
8. f-expansions --
9. Ergodicity --
10. Examples of non-ergodic systems --
11. Distribution theorems --
12. Invariant measures --
13. Kuzmin's equation --
14. The Parry-Daniels map --
15. Renyi's condition --
16. Auxiliary measures --
17. First return map --
18. Jump transformations I --
19. Jump transformations II --
20. Maps with indifferent fixed points --
21. Dual algorithms --
22. Piecewise fractional linear maps --
23. Multidimensional maps --
24. Diophantine problems --
25. The transfer operator --
26. The case of continued fractions --
27. The Lasota-Yorke approach --
28. Distortion and other functionals --
29. More results on the Kuzmin operator --
30. The quadratic map --
31. Exponents of convergence --
A. References --
B. Index.
Series Title: Oxford science publications.
Responsibility: Fritz Schweiger.

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"Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of "theory." Read more...

 
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