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Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910480533903321 |
Kaimanovich Vadim A.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910788748703321 |
|
Kaimanovich Vadim A.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich
| Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
| Autore | Kaimanovich Vadim A. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina |
510 s
515/.9 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal mapping
Geometry, Hyperbolic Measure theory Differential topology Complex manifolds Hyperbolic spaces Kleinian groups |
| ISBN | 1-4704-0421-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Affine and hyperbolic laminations""; ""1.1. Afflne plane and hyperbolic space""; ""1.2. The notion of lamination""; ""1.3. Cohomology of an affine lamination""; ""Chapter 2. Measures and currents on laminations""; ""2.1. Measures on general laminations""; ""2.2. Measures and streams on affine and hyperbolic laminations""; ""2.3. Conformal streams, harmonic measures and harmonic functions""; ""2.4. Measures and streams on quotient laminations""; ""Chapter 3. Laminations associated with rational maps""; ""3.1. Construction of the affine lamination""
""3.2. The Busemann and basic cocycles of a rational map""""3.3. An example of a special section""; ""3.4. Dual basic cocycle""; ""3.5. Euclidean laminations""; ""Chapter 4. Measures on laminations associated with rational maps""; ""4.1. The balanced measures""; ""4.2. Equidistribution of leaves""; ""4.3. Critical exponent""; ""4.4. Transverse conformal stream and λ-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups"" ""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography"" |
| Record Nr. | UNINA-9910812425703321 |
|
Kaimanovich Vadim A.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||