Info
Asymptotic Counting in Conformal Dynamical Systems
| Asymptotic Counting in Conformal Dynamical Systems |
| Autore | Pollicott Mark |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (152 pages) |
| Disciplina | 515/.39 |
| Altri autori (Persone) | UrbańskiMariusz |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Conformal geometry
Dynamical systems and ergodic theory -- Complex dynamical systems -- Conformal densities and Hausdorff dimension Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Thermodynamic formalism, variational principles, equilibrium states Convex and discrete geometry -- Discrete geometry -- Circle packings and discrete conformal geometry Probability theory and stochastic processes -- Limit theorems -- Central limit and other weak theorems |
| ISBN |
9781470466329
1470466325 |
| Classificazione | 37F3537D3552C2660F05 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Chapter 1. Introduction -- 1.1. Short General Introduction -- 1.2. Asymptotic Counting Results -- 1.3. Examples -- 1.4. Statistical Results -- 1.5. Historical Overview of Applications and Examples -- Chapter 2. Attracting Conformal Graph Directed Markov Systems -- 2.1. Thermodynamic Formalism of Subshifts of Finite Type with Countable Alphabet -- Preliminaries -- 2.2. Attracting Conformal Countable Alphabet Graph Directed Markov Systems (GDMSs) and Countable Alphabet Attracting Iterated Function Systems (IFSs) -- Preliminaries -- 2.3. Complex Ruelle-Perron-Frobenius Operators -- Spectrum and D-Genericity -- 2.4. Asymptotic Results for Multipliers -- Statements and First Preparations -- 2.5. Complex Localized Poincaré Series ᵨ -- 2.6. Asymptotic Results for Multipliers -- Concluding of Proofs -- 2.7. Asymptotic Results for Diameters -- Chapter 3. Parabolic Conformal Graph Directed Markov Systems -- 3.1. Parabolic GDMS -- Preliminaries -- 3.2. Poincaré's Series for \cS*, the Associated Countable Alphabet Attracting GDMS -- 3.3. Asymptotic Results for Multipliers -- 3.4. Asymptotic Results for Diameters -- Chapter 4. Central Limit Theorems -- 4.1. Central Limit Theorems for Multipliers and Diameters: Attracting GDMSs with Invariant Measure _{ _{\cS}} -- 4.2. Central Limit Theorems for Multipliers and Diameters: Parabolic GDMSs with Finite Invariant Measure _{ _{\cS}} -- 4.3. Central Limit Theorems: Asymptotic Counting Functions for Attracting GDMSs -- 4.4. Central Limit Theorems: Asymptotic Counting Functions for Parabolic GDMSs -- Chapter 5. Examples and Applications, I -- 5.1. Attracting/Expanding Conformal Dynamical Systems -- 5.2. Conformal Parabolic Dynamical Systems -- Chapter 6. Examples and Applications, II: Kleinian Groups -- 6.1. Finitely Generated Classical Schottky Groups with no Tangencies.
6.2. Generalized (allowing tangencies) Classical Schottky Groups -- 6.3. Fuchsian Groups -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910953752003321 |
Pollicott Mark
|
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Open Conformal Systems and Perturbations of Transfer Operators [[electronic resource] /] / by Mark Pollicott, Mariusz Urbański
| Open Conformal Systems and Perturbations of Transfer Operators [[electronic resource] /] / by Mark Pollicott, Mariusz Urbański |
| Autore | Pollicott Mark |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XII, 204 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Functional analysis Functions of complex variables Operator theory Measure theory Dynamical Systems and Ergodic Theory Functional Analysis Functions of a Complex Variable Operator Theory Measure and Integration |
| ISBN | 3-319-72179-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces -- 3. Symbol Escape Rates and the Survivor Set K(Un) -- 4. Escape Rates for Conformal GDMSs and IFSs -- 5. Applications: Escape Rates for Multimodal Maps and One-Dimensional Complex Dynamics. |
| Record Nr. | UNISA-996466543003316 |
|
Pollicott Mark
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Open Conformal Systems and Perturbations of Transfer Operators / / by Mark Pollicott, Mariusz Urbański
| Open Conformal Systems and Perturbations of Transfer Operators / / by Mark Pollicott, Mariusz Urbański |
| Autore | Pollicott Mark |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XII, 204 p.) |
| Disciplina | 516.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Functional analysis Functions of complex variables Operator theory Measure theory Dynamical Systems and Ergodic Theory Functional Analysis Functions of a Complex Variable Operator Theory Measure and Integration |
| ISBN | 3-319-72179-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces -- 3. Symbol Escape Rates and the Survivor Set K(Un) -- 4. Escape Rates for Conformal GDMSs and IFSs -- 5. Applications: Escape Rates for Multimodal Maps and One-Dimensional Complex Dynamics. |
| Record Nr. | UNINA-9910279755803321 |
|
Pollicott Mark
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||