Conformal and harmonic measures on laminations associated with rational maps:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2005
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
820 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 173, number 820 (end of volume)." Includes bibliographical references |
| Beschreibung: | VI, 119 S. graph. Darst. |
| ISBN: | 0821836153 |
Internformat
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| 100 | 1 | |a Kaimanovich, Vadim A. |d 1959- |e Verfasser |0 (DE-588)131351753 |4 aut | |
| 245 | 1 | 0 | |a Conformal and harmonic measures on laminations associated with rational maps |c Vadim A. Kaimanovich, Mikhail Lyubich |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2005 | |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 820 | |
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Datensatz im Suchindex
| _version_ | 1804133127864451072 |
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| adam_text | Contents
Introduction 1
Chapter 1. Affine and hyperbolic laminations 7
1.1. Affine plane and hyperbolic space 7
1.2. The notion of lamination 20
1.3. Cohomology of an affine lamination 24
Chapter 2. Measures and currents on laminations 27
2.1. Measures on general laminations 27
2.2. Measures and streams on affine and hyperbolic laminations 33
2.3. Conformal streams, harmonic measures and harmonic functions 39
2.4. Measures and streams on quotient laminations 43
Chapter 3. Laminations associated with rational maps 45
3.1. Construction of the affine lamination 45
3.2. The Busemann and basic cocycles of a rational map 54
3.3. An example of a special section 56
3.4. Dual basic cocycle 59
3.5. Euclidean laminations 61
Chapter 4. Measures on laminations associated with rational maps 65
4.1. The balanced measures 65
4.2. Equidistribution of leaves 69
4.3. Critical exponent 74
4.4. Transverse conformal stream and A harmonic measure 81
4.5. Leafwise conformal streams 84
4.6. Sullivan s Riemann surface laminations 87
4.7. Problems 88
Appendix A. Laminations associated with Kleinian groups 89
A.I. Foliations associated with the hyperbolic space 89
A.2. Laminations associated with Kleinian groups 92
A.3. Metrics on the Riemann sphere 94
A.4. Conformal streams and invariant measures of the geodesic flow 97
A.5. New lines in the dictionary 102
A.6. An example of a non Euclidean affine foliation 103
List of notations 111
Bibliography 117
|
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| language | English |
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| spelling | Kaimanovich, Vadim A. 1959- Verfasser (DE-588)131351753 aut Conformal and harmonic measures on laminations associated with rational maps Vadim A. Kaimanovich, Mikhail Lyubich Providence, R.I. American Mathematical Society 2005 VI, 119 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 820 "Volume 173, number 820 (end of volume)." Includes bibliographical references Conformele vectorvelden gtt Differentiaaltopologie gtt Folheações larpcal Geometria hiperbólica larpcal Hyperbolische meetkunde gtt Topologia diferencial larpcal Variedades complexas larpcal aConformal mapping aGeometry, Hyperbolic aMeasure theory aDifferential topology aComplex manifolds aHyperbolic spaces aKleinian groups Konforme Abbildung (DE-588)4164968-0 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Hyperbolische Geometrie (DE-588)4161041-6 gnd rswk-swf Kleinsche Gruppe (DE-588)4164159-0 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Hyperbolischer Raum (DE-588)4161046-5 gnd rswk-swf Konforme Abbildung (DE-588)4164968-0 s Hyperbolische Geometrie (DE-588)4161041-6 s Maßtheorie (DE-588)4074626-4 s Differentialtopologie (DE-588)4012255-4 s Hyperbolischer Raum (DE-588)4161046-5 s Kleinsche Gruppe (DE-588)4164159-0 s b DE-604 Lyubich, Mikhail 1959- Sonstige (DE-588)131351877 oth Memoirs of the American Mathematical Society 820 (DE-604)BV008000141 820 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013013245&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaimanovich, Vadim A. 1959- Conformal and harmonic measures on laminations associated with rational maps Memoirs of the American Mathematical Society Conformele vectorvelden gtt Differentiaaltopologie gtt Folheações larpcal Geometria hiperbólica larpcal Hyperbolische meetkunde gtt Topologia diferencial larpcal Variedades complexas larpcal aConformal mapping aGeometry, Hyperbolic aMeasure theory aDifferential topology aComplex manifolds aHyperbolic spaces aKleinian groups Konforme Abbildung (DE-588)4164968-0 gnd Maßtheorie (DE-588)4074626-4 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd Kleinsche Gruppe (DE-588)4164159-0 gnd Differentialtopologie (DE-588)4012255-4 gnd Hyperbolischer Raum (DE-588)4161046-5 gnd |
| subject_GND | (DE-588)4164968-0 (DE-588)4074626-4 (DE-588)4161041-6 (DE-588)4164159-0 (DE-588)4012255-4 (DE-588)4161046-5 |
| title | Conformal and harmonic measures on laminations associated with rational maps |
| title_auth | Conformal and harmonic measures on laminations associated with rational maps |
| title_exact_search | Conformal and harmonic measures on laminations associated with rational maps |
| title_full | Conformal and harmonic measures on laminations associated with rational maps Vadim A. Kaimanovich, Mikhail Lyubich |
| title_fullStr | Conformal and harmonic measures on laminations associated with rational maps Vadim A. Kaimanovich, Mikhail Lyubich |
| title_full_unstemmed | Conformal and harmonic measures on laminations associated with rational maps Vadim A. Kaimanovich, Mikhail Lyubich |
| title_short | Conformal and harmonic measures on laminations associated with rational maps |
| title_sort | conformal and harmonic measures on laminations associated with rational maps |
| topic | Conformele vectorvelden gtt Differentiaaltopologie gtt Folheações larpcal Geometria hiperbólica larpcal Hyperbolische meetkunde gtt Topologia diferencial larpcal Variedades complexas larpcal aConformal mapping aGeometry, Hyperbolic aMeasure theory aDifferential topology aComplex manifolds aHyperbolic spaces aKleinian groups Konforme Abbildung (DE-588)4164968-0 gnd Maßtheorie (DE-588)4074626-4 gnd Hyperbolische Geometrie (DE-588)4161041-6 gnd Kleinsche Gruppe (DE-588)4164159-0 gnd Differentialtopologie (DE-588)4012255-4 gnd Hyperbolischer Raum (DE-588)4161046-5 gnd |
| topic_facet | Conformele vectorvelden Differentiaaltopologie Folheações Geometria hiperbólica Hyperbolische meetkunde Topologia diferencial Variedades complexas aConformal mapping aGeometry, Hyperbolic aMeasure theory aDifferential topology aComplex manifolds aHyperbolic spaces aKleinian groups Konforme Abbildung Maßtheorie Hyperbolische Geometrie Kleinsche Gruppe Differentialtopologie Hyperbolischer Raum |
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