Multidimensional continued fractions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2000
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Oxford science publications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 234 S. graph. Darst. |
| ISBN: | 0198506864 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804129195833425920 |
|---|---|
| adam_text | Contents
1 Piecewise fractional linear maps 1
2 Brentjes formalism 8
3 Ergodic theory of fibred systems 16
4 Jacobi Perron algorithm 24
4.1 Basic definitions 24
4.2 Convergence results 29
4.3 Ergodic properties 36
5 Giiting s algorithm 37
6 Bran s algorithm 45
6.1 Subtractive version 45
6.2 Multiplicative acceleration 48
7 Selmer s algorithm 53
7.1 Subtractive version 53
7.2 The division algorithm 61
8 Generalized subtractive algorithms 62
9 Fully subtractive algorithms 69
10 Skew products 82
11 Continued fractions on simplices 87
11.1 Fractional linear maps 87
11.2 Interval exchange transformations 93
12 The convergence method of Greiter 102
13 Periodic expansions 111
14 Convergence and rational dependence 120
15 Diophantine approximation 127
15.1 Exponents of approximation 127
15.2 Perron s identity 131
15.3 Results on convergence 132
16 The second Lyapunov exponent 140
17 Periodic Jacobi Perron algorithms 146
18 Convergence for periodic expansions 157
viii CONTENTS
19 Volume as a measure of
approximation 164
20 Complex continued fractions 170
21 The Poincare algorithm 182
22 Dimension of exceptional sets 201
22.1 Introduction 201
22.2 The Dirichlet series of a set 202
23 A Kuzmin theorem 209
24 Some applications 220
References 224
Index 233
|
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| id | DE-604.BV014300389 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:01:17Z |
| institution | BVB |
| isbn | 0198506864 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009809351 |
| oclc_num | 44173040 |
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| owner_facet | DE-29T DE-355 DE-BY-UBR DE-11 |
| physical | VIII, 234 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series2 | Oxford science publications |
| spelling | Schweiger, Fritz 1942- Verfasser (DE-588)121576094 aut Multidimensional continued fractions Fritz Schweiger 1. publ. Oxford [u.a.] Oxford Univ. Press 2000 VIII, 234 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford science publications Fractions continues ram Continued fractions Kettenbruch (DE-588)4030401-2 gnd rswk-swf Mehrdimensionalität (DE-588)4474159-5 gnd rswk-swf Kettenbruch (DE-588)4030401-2 s Mehrdimensionalität (DE-588)4474159-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009809351&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schweiger, Fritz 1942- Multidimensional continued fractions Fractions continues ram Continued fractions Kettenbruch (DE-588)4030401-2 gnd Mehrdimensionalität (DE-588)4474159-5 gnd |
| subject_GND | (DE-588)4030401-2 (DE-588)4474159-5 |
| title | Multidimensional continued fractions |
| title_auth | Multidimensional continued fractions |
| title_exact_search | Multidimensional continued fractions |
| title_full | Multidimensional continued fractions Fritz Schweiger |
| title_fullStr | Multidimensional continued fractions Fritz Schweiger |
| title_full_unstemmed | Multidimensional continued fractions Fritz Schweiger |
| title_short | Multidimensional continued fractions |
| title_sort | multidimensional continued fractions |
| topic | Fractions continues ram Continued fractions Kettenbruch (DE-588)4030401-2 gnd Mehrdimensionalität (DE-588)4474159-5 gnd |
| topic_facet | Fractions continues Continued fractions Kettenbruch Mehrdimensionalität |
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