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101 0 $aeng
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181   $ctxt
182   $cc
183   $acr
200 10$aConformal and harmonic measures on laminations associated with rational maps /$fVadim A. Kaimanovich, Mikhail Lyubich
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2005.
210  4$d©2005
215   $a1 online resource (134 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 820
300   $a"Volume 173, number 820 (end of volume)."
311   $a0-8218-3615-3 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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 I?»-harmonic measure""; ""4.5. Leafwise conformal streams""; ""4.6. Sullivan's Riemann surface laminations""; ""4.7. Problems""; ""Appendix A. Laminations associated with Kleinian groups""
327   $a""A.1. Foliations associated with the hyperbolic space""""A.2. Laminations associated with Kleinian groups""; ""A.3. Metrics on the Riemann sphere""; ""A.4. Conformal streams and invariant measures of the geodesic flow""; ""A.5. New lines in the dictionary""; ""A.6. An example of a non-Euclidean affine foliation""; ""List of notations""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 820.
606   $aConformal mapping
606   $aGeometry, Hyperbolic
606   $aMeasure theory
606   $aDifferential topology
606   $aComplex manifolds
606   $aHyperbolic spaces
606   $aKleinian groups
608   $aElectronic books.
615  0$aConformal mapping.
615  0$aGeometry, Hyperbolic.
615  0$aMeasure theory.
615  0$aDifferential topology.
615  0$aComplex manifolds.
615  0$aHyperbolic spaces.
615  0$aKleinian groups.
676   $a510 s
676   $a515/.9
700   $aKaimanovich$b Vadim A.$0898963
702   $aLyubich$b Mikhail$f1959-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480533903321
996   $aConformal and harmonic measures on laminations associated with rational maps$92008388
997   $aUNINA