03686nam 2200709 450 991081242570332120170816143327.01-4704-0421-4(CKB)3360000000465004(EBL)3114212(SSID)ssj0000973324(PQKBManifestationID)11553110(PQKBTitleCode)TC0000973324(PQKBWorkID)10959568(PQKB)11302693(MiAaPQ)EBC3114212(RPAM)13709972(PPN)195417089(EXLCZ)99336000000046500420040903h20052005 uy| 0engur|n|---|||||txtccrConformal and harmonic measures on laminations associated with rational maps /Vadim A. Kaimanovich, Mikhail LyubichProvidence, Rhode Island :American Mathematical Society,2005.©20051 online resource (134 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 820"Volume 173, number 820 (end of volume)."0-8218-3615-3 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;no. 820.Conformal mappingGeometry, HyperbolicMeasure theoryDifferential topologyComplex manifoldsHyperbolic spacesKleinian groupsConformal mapping.Geometry, Hyperbolic.Measure theory.Differential topology.Complex manifolds.Hyperbolic spaces.Kleinian groups.510 s515/.9Kaimanovich Vadim A.898963Lyubich Mikhail1959-MiAaPQMiAaPQMiAaPQBOOK9910812425703321Conformal and harmonic measures on laminations associated with rational maps3971572UNINA01486nam 2200493 450 991081089780332120230809233536.01-119-13943-01-119-13942-21-119-13944-9(CKB)4330000000008844(MiAaPQ)EBC4735391(DLC) 2016028337(Au-PeEL)EBL4735391(CaPaEBR)ebr11296090(CaONFJC)MIL978149(OCoLC)963667098(EXLCZ)99433000000000884420161118h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierThe fractional trigonometry with applications to fractional differential equations and science /Carl F. Lorenzo, Tom T. HartleyHoboken, New Jersey :Wiley,2017.©20171 online resource (637 pages) illustrations, graphs, tables1-119-13940-6 Includes bibliographical references and index.Fractional calculusTrigonometryFractional calculus.Trigonometry.516.24Lorenzo Carl F.1695750Hartley T. T(Tom T.),1964-MiAaPQMiAaPQMiAaPQBOOK9910810897803321The fractional trigonometry4075221UNINA