Symbolic dynamics and hyperbolic groups:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1993
|
| Schriftenreihe: | Lecture notes in mathematics
1539 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003910376&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 138 S. graph. Darst. |
| ISBN: | 3540564993 0387564993 |
Internformat
MARC
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| 100 | 1 | |a Coornaert, Michel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Symbolic dynamics and hyperbolic groups |c Michel Coornaert ; Athanase Papadopoulos |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1993 | |
| 300 | |a VIII, 138 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1539 | |
| 650 | 4 | |a Dynamique différentiable | |
| 650 | 7 | |a Dynamique différentiable |2 ram | |
| 650 | 4 | |a Dynamique topologique | |
| 650 | 7 | |a Dynamique topologique |2 ram | |
| 650 | 7 | |a Espaces hyperboliques |2 ram | |
| 650 | 7 | |a Gewone differentiaalvergelijkingen |2 gtt | |
| 650 | 7 | |a Gromov |2 inriap | |
| 650 | 4 | |a Groupes hyperboliques | |
| 650 | 7 | |a Groupes hyperboliques |2 ram | |
| 650 | 4 | |a Géométrie différentielle globale | |
| 650 | 7 | |a Hyperbolische ruimten |2 gtt | |
| 650 | 7 | |a espace hyperbolique |2 inriac | |
| 650 | 7 | |a groupe hyperbolique |2 inriac | |
| 650 | 7 | |a géométrie hyperbolique |2 inriac | |
| 650 | 7 | |a système dynamique |2 inriac | |
| 650 | 7 | |a système type fini |2 inriac | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Hyperbolic groups | |
| 650 | 4 | |a Topological dynamics | |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hyperbolische Gruppe |0 (DE-588)4238166-6 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
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| 830 | 0 | |a Lecture notes in mathematics |v 1539 |w (DE-604)BV000676446 |9 1539 | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1539 |
|---|---|
| DE-BY-TUM_katkey | 1213889 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020544472 |
| _version_ | 1821932502532489216 |
| adam_text | Table of contents
Introduction 1
Chapter 1. — A quick review of Gromov hyperbolic spaces. 5
§1. — Hyperbolic metric spaces. 6
§2. — Hyperbolic groups. 8
§3. — The boundary of a hyperbolic space. 9
§4. — The visual metric on the boundary. 12
§5. — Approximation by trees. 13
§6. — Quasi geodesics and quasi isometries. 13
§7. — Classification of isometries. 16
§8. — The polyhedron Pd(X). 17
Bibliography for Chapter 1. 18
Chapter 2. — Symbolic dynamics. 19
§1. — Bernoulli shifts. 20
§2. — Expansive systems. 22
§3. — Subshifts of finite type. 26
§4. — Systems of finite type and finitely presented systems. 29
§5. — Symbolic dynamics on N and on 2Z . 31
§6. — Sofic systems. 36
Notes and comments on Chapter 2. 40
Bibliography for Chapter 2. 41
Chapter 3. — The boundary of a hyperbolic space as a finitely presented
dynamical system. 43
§1. — The cocycles ip. 44
§2. — Integration of the cocycles ip. 45
§3. — The cocycles associated to Busemann functions. 46
§4. — The gradient lines defined by tp. 50
§5. — The point at infinity associated to a cocycle. 52
§6. — Properties of the map a : $ —? dX. 55
§7. — Integral cocycles on a hyperbolic graph. 59
VII
§8. — A finite presentation of the boundary of a hyperbolic group. 62
Notes and comments on Chapter 3. 67
Bibliography for Chapter 3. 68
Chapter 4. — Another finite presentation for the action of a hyperbolic group
on its boundary. 69
§1. — Convergent sequences. 70
§2. — Convergent quasi geodesic fields. 74
§3. — Integral fields on a graph. 83
§4. — Another finite presentation of the boundary of a hyperbolic group. 85
Notes and comments on Chapter 4. 89
Bibliography for Chapter 4. 90
Chapter 5. — Trees and hyperbolic boundary. 91
§1. — Trees and projective sequences of sets. 92
§2. — The tree Tgeo(X). 93
§3. — The tree Tpart(X). 96
§4. — The tree T/ei associated to a hyperbolic group. 100
§5. — A remark on the dimension of the hyperbolic boundary. 103
Notes and comments on Chapter 5. 105
Bibliography for Chapter 5. 106
Chapter 6. — Semi Markovian spaces. 107
§1. — Semi Markovian spaces. 108
§2. — First examples of semi Markovian spaces. 110
§3. —Semi Markovian presentation of polyhedra. 114
Notes and comments on Chapter 6. 116
Bibliography for Chapter 6. 117
Chapter 7. — The boundary of a torsion free hyperbolic group as a semi
Markovian space. 118
§1. — TV equivalence in the trees Tgeo and Tpart 119
§2. — The boundary of Tgt0 as a semi Markovian subset. 122
§3. — A semi Markovian presentation of dT. 126
§4. — The boundary of Tpart as a semi Markovian subset. 130
§5. — A finite to one semi Markovian presentation of dT. 131
Notes and comments on Chapter 7. 133
Bibliography for Chapter 7. 134
Index. 135
VIM
|
| any_adam_object | 1 |
| author | Coornaert, Michel Papadopoulos, Athanase 1957- |
| author_GND | (DE-588)112427995 |
| author_facet | Coornaert, Michel Papadopoulos, Athanase 1957- |
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| author_sort | Coornaert, Michel |
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| classification_tum | MAT 515f |
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| dewey-full | 510 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516.3/62 |
| dewey-search | 510 516.3/62 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006193757 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T08:44:41Z |
| institution | BVB |
| isbn | 3540564993 0387564993 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003910376 |
| oclc_num | 246273321 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-355 DE-BY-UBR DE-20 DE-29T DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-824 DE-706 DE-83 DE-188 DE-11 |
| owner_facet | DE-384 DE-12 DE-355 DE-BY-UBR DE-20 DE-29T DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-824 DE-706 DE-83 DE-188 DE-11 |
| physical | VIII, 138 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Coornaert, Michel Papadopoulos, Athanase 1957- Symbolic dynamics and hyperbolic groups Lecture notes in mathematics Dynamique différentiable Dynamique différentiable ram Dynamique topologique Dynamique topologique ram Espaces hyperboliques ram Gewone differentiaalvergelijkingen gtt Gromov inriap Groupes hyperboliques Groupes hyperboliques ram Géométrie différentielle globale Hyperbolische ruimten gtt espace hyperbolique inriac groupe hyperbolique inriac géométrie hyperbolique inriac système dynamique inriac système type fini inriac Differentiable dynamical systems Global differential geometry Hyperbolic groups Topological dynamics Dynamisches System (DE-588)4013396-5 gnd Hyperbolische Gruppe (DE-588)4238166-6 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4238166-6 |
| title | Symbolic dynamics and hyperbolic groups |
| title_auth | Symbolic dynamics and hyperbolic groups |
| title_exact_search | Symbolic dynamics and hyperbolic groups |
| title_full | Symbolic dynamics and hyperbolic groups Michel Coornaert ; Athanase Papadopoulos |
| title_fullStr | Symbolic dynamics and hyperbolic groups Michel Coornaert ; Athanase Papadopoulos |
| title_full_unstemmed | Symbolic dynamics and hyperbolic groups Michel Coornaert ; Athanase Papadopoulos |
| title_short | Symbolic dynamics and hyperbolic groups |
| title_sort | symbolic dynamics and hyperbolic groups |
| topic | Dynamique différentiable Dynamique différentiable ram Dynamique topologique Dynamique topologique ram Espaces hyperboliques ram Gewone differentiaalvergelijkingen gtt Gromov inriap Groupes hyperboliques Groupes hyperboliques ram Géométrie différentielle globale Hyperbolische ruimten gtt espace hyperbolique inriac groupe hyperbolique inriac géométrie hyperbolique inriac système dynamique inriac système type fini inriac Differentiable dynamical systems Global differential geometry Hyperbolic groups Topological dynamics Dynamisches System (DE-588)4013396-5 gnd Hyperbolische Gruppe (DE-588)4238166-6 gnd |
| topic_facet | Dynamique différentiable Dynamique topologique Espaces hyperboliques Gewone differentiaalvergelijkingen Gromov Groupes hyperboliques Géométrie différentielle globale Hyperbolische ruimten espace hyperbolique groupe hyperbolique géométrie hyperbolique système dynamique système type fini Differentiable dynamical systems Global differential geometry Hyperbolic groups Topological dynamics Dynamisches System Hyperbolische Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003910376&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT coornaertmichel symbolicdynamicsandhyperbolicgroups AT papadopoulosathanase symbolicdynamicsandhyperbolicgroups |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 999-1539 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |