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Record Nr. |
UNINA9910812425703321 |
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Autore |
Kaimanovich Vadim A. |
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Titolo |
Conformal and harmonic measures on laminations associated with rational maps / / Vadim A. Kaimanovich, Mikhail Lyubich |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2005 |
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©2005 |
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ISBN |
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Descrizione fisica |
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1 online resource (134 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 820 |
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Disciplina |
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Soggetti |
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Conformal mapping |
Geometry, Hyperbolic |
Measure theory |
Differential topology |
Complex manifolds |
Hyperbolic spaces |
Kleinian groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 173, number 820 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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 |
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