Ergodic theory and topological dynamics of group actions on homogeneous spaces:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2000
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society: London Mathematical Society lecture note series
269 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009096593&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 200 S. graph. Darst. |
| ISBN: | 0521660300 |
Internformat
MARC
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| 100 | 1 | |a Bekka, Mohammed E. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Ergodic theory and topological dynamics of group actions on homogeneous spaces |c M. Bachir Bekka ; Matthias Mayer |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2000 | |
| 300 | |a X, 200 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 A 985-269 |
|---|---|
| DE-BY-TUM_katkey | 1161466 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010570144 |
| _version_ | 1821932350825562113 |
| adam_text | Contents
Preface vii
I. Ergodic Systems 1
§1 Examples and Basic Results 1
§2 Ergodic Theory and Unitary Representations 13
§3 Invariant Measures and Unique Ergodicity 30
II. The Geodesic Flow of Riemannian Locally Symmetric
Spaces 36
§1 Some Hyperbolic Geometry 38
§2 Lattices and Fundamental Domains 42
§3 The Geodesic Flow of Compact Riemann Surfaces 57
§4 The Geodesic Flow on Riemannian Locally Symmetric Spaces 62
III. The Vanishing Theorem of Howe and Moore 80
§1 Howe Moore s Theorem 81
§2 Moore s Ergodicity Theorems 89
§3 Counting Lattice Points in the Hyperbolic Plane 93
§4 Mixing of All Orders 98
IV. The Horocycle Flow 110
§1 The Horocycle Flow of a Riemann Surface 111
§2 Proof of Hedlund s Theorem Cocompact Case 116
§3 Classification of Invariant Measures 120
§4 Equidistribution of Horocycle Orbits 128
V. Siegel Sets, Mahler s Criterion and Margulis Lemma 139
§1 Siegel Sets in SL(n,R) 139
§2 SL(n,Z) is a lattice in SL(n,R) 144
§3 Mahler s Criterion 146
§4 Reduction of Positive Definite Quadratic Forms 148
§5 Margulis Lemma 150
VI. An Application to Number Theory:
Oppenheim s Conjecture 161
§1 Oppenheim s Conjecture 162
§2 Proof of the Theorem Preliminaries 163
§3 Existence of Minimal Closed Subsets 172
§4 Orbits of One Parameter Groups of Unipotent
Linear Transformations 177
§5 Proof of the Theorem Conclusion 179
§6 Ratner s Results on the Conjectures of Raghunathan,
Dani and Margulis 184
Bibliography 189
Index 198
|
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| id | DE-604.BV013340298 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:45:30Z |
| institution | BVB |
| isbn | 0521660300 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009096593 |
| oclc_num | 614311295 |
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| physical | X, 200 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spellingShingle | Bekka, Mohammed E. Mayer, Matthias Ergodic theory and topological dynamics of group actions on homogeneous spaces London Mathematical Society: London Mathematical Society lecture note series Topologische Dynamik (DE-588)4253345-4 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4253345-4 (DE-588)4015246-7 |
| title | Ergodic theory and topological dynamics of group actions on homogeneous spaces |
| title_auth | Ergodic theory and topological dynamics of group actions on homogeneous spaces |
| title_exact_search | Ergodic theory and topological dynamics of group actions on homogeneous spaces |
| title_full | Ergodic theory and topological dynamics of group actions on homogeneous spaces M. Bachir Bekka ; Matthias Mayer |
| title_fullStr | Ergodic theory and topological dynamics of group actions on homogeneous spaces M. Bachir Bekka ; Matthias Mayer |
| title_full_unstemmed | Ergodic theory and topological dynamics of group actions on homogeneous spaces M. Bachir Bekka ; Matthias Mayer |
| title_short | Ergodic theory and topological dynamics of group actions on homogeneous spaces |
| title_sort | ergodic theory and topological dynamics of group actions on homogeneous spaces |
| topic | Topologische Dynamik (DE-588)4253345-4 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Topologische Dynamik Ergodentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009096593&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT bekkamohammede ergodictheoryandtopologicaldynamicsofgroupactionsonhomogeneousspaces AT mayermatthias ergodictheoryandtopologicaldynamicsofgroupactionsonhomogeneousspaces |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 A 985-269
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |