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Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order / / Volker Mayer, Mariusz Urbański
| Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order / / Volker Mayer, Mariusz Urbański |
| Autore | Mayer Volker <1964-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (107 p.) |
| Disciplina | 515.982 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Meromorphic
Functions of complex variables Fractals |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0568-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480869803321 |
Mayer Volker <1964->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order / / Volker Mayer, Mariusz Urbański
| Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order / / Volker Mayer, Mariusz Urbański |
| Autore | Mayer Volker <1964-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (107 p.) |
| Disciplina | 515.982 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Meromorphic
Functions of complex variables Fractals |
| ISBN | 1-4704-0568-7 |
| Classificazione | SI 130 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788856903321 |
|
Mayer Volker <1964->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order / / Volker Mayer, Mariusz Urbański
| Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order / / Volker Mayer, Mariusz Urbański |
| Autore | Mayer Volker <1964-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (107 p.) |
| Disciplina | 515.982 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Functions, Meromorphic
Functions of complex variables Fractals |
| ISBN | 1-4704-0568-7 |
| Classificazione | SI 130 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910811628903321 |
|
Mayer Volker <1964->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||