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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aThermodynamical formalism and multifractal analysis for meromorphic functions of finite order /$fVolker Mayer, Mariusz Urban?ski
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009.
210  4$dİ2009
215   $a1 online resource (107 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 203, Number 954
300   $a"Volume 203, Number 954 (third of 5 numbers)."
311   $a0-8218-4659-0 
320   $aIncludes bibliographical references and index.
327   $a""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Balanced functions ""; ""2.1. Growth conditions""; ""2.2. The precise form of 2""; ""2.3. Classical families""; ""2.4. Functions with polynomial Schwarzian derivative""; ""2.5. Functions with rational Schwarzian derivative""; ""2.6. Uniform balanced growth""; ""Chapter 3. Transfer operator and Nevanlinna Theory""; ""3.1. Choice of a Riemannian metric and transfer operator""; ""3.2. Nevanlinna Theory and Borel Sums""; ""Chapter 4. Preliminaries, Hyperbolicity and Distortion Properties""
327   $a""6.2. Ergodic properties of Gibbs states""""6.3. Decay of correlations and Central Limit Theorem""; ""6.4. Cohomologies and 2=0""; ""6.5. Variational principle""; ""Chapter 7. Regularity of Perron-Frobenius Operators and Topological Pressure""; ""7.1. Analyticity of Perron-Frobenius operators""; ""7.2. Analyticity of pressure""; ""7.3. Derivatives of the pressure function""; ""Chapter 8. Multifractal analysis""; ""8.1. Hausdorff dimension of Gibbs states""; ""8.2. The temperature function""; ""8.3. Multifractal analysis""
327   $a""Chapter 9. Multifractal Analysis of Analytic Families of Dynamically Regular Functions""""9.1. Extensions of harmonic functions""; ""9.2. Holomorphic families and quasi-conformal conjugacies""; ""9.3. Real analyticity of the multifractal function""; ""Bibliography""; ""Index""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 203, Number 954.
606   $aFunctions, Meromorphic
606   $aFunctions of complex variables
606   $aFractals
615  0$aFunctions, Meromorphic.
615  0$aFunctions of complex variables.
615  0$aFractals.
676   $a515.982
686   $aSI 130$2rvk
700   $aMayer$b Volker$f1964-$0478963
702   $aUrban?ski$b Mariusz
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910811628903321
996   $aThermodynamical formalism and multifractal analysis for meromorphic functions of finite order$93931956
997   $aUNINA