Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order / / Volker Mayer, Mariusz Urbański

• Autore: Mayer Volker <1964->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2009; ©2009
• Descrizione fisica: 1 online resource (107 p.)
• Disciplina: 515.982
• Soggetto topico: Functions, Meromorphic; Functions of complex variables; Fractals
• Classificazione: SI 130
• Persona (resp. second.): UrbańskiMariusz
• Note generali: "Volume 203, Number 954 (third of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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"" ; ""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"" ; ""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""
• Titolo autorizzato: Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order
• ISBN: 1-4704-0568-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910811628903321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 203, Number 954.