Ergodic theory and topological dynamics of group actions on homogeneous spaces:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
2000
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society lecture note series
269 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 200 S. graph. Darst. |
| ISBN: | 0521660300 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013340298 | ||
| 003 | DE-604 | ||
| 005 | 20140922 | ||
| 007 | t | ||
| 008 | 000912s2000 d||| |||| 00||| eng d | ||
| 020 | |a 0521660300 |9 0-521-66030-0 | ||
| 035 | |a (OCoLC)614311295 | ||
| 035 | |a (DE-599)BVBBV013340298 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-824 |a DE-91G |a DE-355 |a DE-19 |a DE-11 |a DE-384 | ||
| 050 | 0 | |a QA | |
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 084 | |a SK 810 |0 (DE-625)143257: |2 rvk | ||
| 084 | |a SK 820 |0 (DE-625)143258: |2 rvk | ||
| 084 | |a MAT 200f |2 stub | ||
| 084 | |a MAT 550f |2 stub | ||
| 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. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 269 | |
| 650 | 0 | 7 | |a Topologische Dynamik |0 (DE-588)4253345-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ergodentheorie |0 (DE-588)4015246-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ergodentheorie |0 (DE-588)4015246-7 |D s |
| 689 | 0 | 1 | |a Topologische Dynamik |0 (DE-588)4253345-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Mayer, Matthias |e Verfasser |4 aut | |
| 830 | 0 | |a London Mathematical Society: London Mathematical Society lecture note series |v 269 |w (DE-604)BV000000130 |9 269 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009096593 | ||
Record in the Search Index
| _version_ | 1804128113637982208 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Bekka, Mohammed E. Mayer, Matthias |
| author_facet | Bekka, Mohammed E. Mayer, Matthias |
| author_role | aut aut |
| author_sort | Bekka, Mohammed E. |
| author_variant | m e b me meb m m mm |
| building | Verbundindex |
| bvnumber | BV013340298 |
| callnumber-first | Q - Science |
| callnumber-label | QA |
| callnumber-raw | QA |
| callnumber-search | QA |
| callnumber-sort | QA |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 350 SK 810 SK 820 |
| classification_tum | MAT 200f MAT 550f |
| ctrlnum | (OCoLC)614311295 (DE-599)BVBBV013340298 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01842nam a2200445 cb4500</leader><controlfield tag="001">BV013340298</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140922 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">000912s2000 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521660300</subfield><subfield code="9">0-521-66030-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)614311295</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013340298</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-384</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 810</subfield><subfield code="0">(DE-625)143257:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 820</subfield><subfield code="0">(DE-625)143258:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 200f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 550f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bekka, Mohammed E.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Ergodic theory and topological dynamics of group actions on homogeneous spaces</subfield><subfield code="c">M. Bachir Bekka ; Matthias Mayer</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 200 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society: London Mathematical Society lecture note series</subfield><subfield code="v">269</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Topologische Dynamik</subfield><subfield code="0">(DE-588)4253345-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ergodentheorie</subfield><subfield code="0">(DE-588)4015246-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ergodentheorie</subfield><subfield code="0">(DE-588)4015246-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Topologische Dynamik</subfield><subfield code="0">(DE-588)4253345-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mayer, Matthias</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society: London Mathematical Society lecture note series</subfield><subfield code="v">269</subfield><subfield code="w">(DE-604)BV000000130</subfield><subfield code="9">269</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009096593</subfield></datafield></record></collection> |
| id | DE-604.BV013340298 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:44:05Z |
| institution | BVB |
| isbn | 0521660300 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009096593 |
| oclc_num | 614311295 |
| open_access_boolean | |
| owner | DE-824 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-384 |
| owner_facet | DE-824 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-384 |
| 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 |
| spelling | Bekka, Mohammed E. Verfasser aut Ergodic theory and topological dynamics of group actions on homogeneous spaces M. Bachir Bekka ; Matthias Mayer 1. publ. Cambridge Cambridge Univ. Press 2000 X, 200 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 269 Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s Topologische Dynamik (DE-588)4253345-4 s DE-604 Mayer, Matthias Verfasser aut London Mathematical Society: London Mathematical Society lecture note series 269 (DE-604)BV000000130 269 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |