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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature [[electronic resource] /] / edited by Françoise Dal'Bo, Marc Peigné, Andrea Sambusetti
| Analytic and Probabilistic Approaches to Dynamics in Negative Curvature [[electronic resource] /] / edited by Françoise Dal'Bo, Marc Peigné, Andrea Sambusetti |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (148 p.) |
| Disciplina | 514.74 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Dynamics
Ergodic theory Probabilities Operator theory Hyperbolic geometry Differential geometry Dynamical Systems and Ergodic Theory Probability Theory and Stochastic Processes Operator Theory Hyperbolic Geometry Differential Geometry |
| ISBN | 3-319-04807-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Acknowledgements""; ""Contents""; ""Chapter 1 Martingales in Hyperbolic Geometry""; ""1.1 Introduction""; ""1.2 Martingales and Central Limit Theorem in Dynamical Systems""; ""1.2.1 The De Moivre-Laplace Theorem""; ""1.2.2 Example 1: The Angle Doubling""; ""1.2.3 The Gordin's Method""; ""1.2.4 Example 2: The Cat Map""; ""1.3 Other Limit Theorems and Construction of Adequate Filtrations""; ""1.3.1 Some Other Limit Theorems""; ""1.3.1.1 The Donsker Invariance Principle""; ""1.3.1.2 The CLT for Vector Valued Functions""; ""1.3.1.3 The CLT Along Subsequences""
""1.3.2 Example 3: The Geodesic Flow on a Compact Surface with Curvature -1""""1.3.3 Example 4: The Ergodic Automorphisms of the Torus""; ""1.4 Martingales in Hyperbolic Geometry""; ""1.4.1 Example 5: The Geodesic Flow in Dimension d, Constant Curvature (Compact Case)""; ""1.4.2 Example 6: The Geodesic Flow on a Surface with Constant Curvature of Finite Volume""; ""1.4.3 Example 7: The Diagonal Flows on Compact Quotients of SL(d,R)""; ""1.4.4 Examples of Geometrical Applications""; ""1.5 Mixing and Equidistribution""; ""1.5.1 Mixing and Directional Regularity"" ""1.5.2 Example 8: Composing Different Transformations""""1.6 Some General References""; ""References""; ""Chapter 2 Semiclassical Approach for the Ruelle-Pollicott Spectrum of Hyperbolic Dynamics""; ""2.1 Introduction""; ""2.1.1 The General Idea Behind the Semiclassical Approach""; ""2.2 Hyperbolic Dynamics""; ""2.2.1 Anosov Maps""; ""2.2.1.1 General Properties of Anosov Diffeomorphism""; ""2.2.2 Prequantum Anosov Maps""; ""2.2.3 Anosov Vector Field""; ""2.2.3.1 General Properties of Contact Anosov Flows""; ""2.3 Transfer Operators and Their Discrete Ruelle-Pollicott Spectrum"" ""2.3.1 Ruelle Spectrum for a Basic Model of Expanding Map""""2.3.1.1 Transfer Operator""; ""2.3.1.2 Asymptotic Expansion""; ""2.3.1.3 Ruelle Spectrum""; ""2.3.1.4 Arguments of Proof of Theorem 2.4""; ""2.3.1.5 Ruelle Spectrum for Expanding Map in Rd""; ""2.3.2 Ruelle Spectrum of Anosov map""; ""2.3.2.1 Proof of Theorem 2.6""; ""2.3.2.2 The Atiyah-Bott Trace Formula""; ""2.3.3 Ruelle Band Spectrum for Prequantum Anosov Maps""; ""2.3.3.1 Proof of Theorem 2.7""; ""2.3.4 Ruelle Spectrum for Anosov Vector Fields""; ""2.3.4.1 Sketch of Proof of Theorem 2.9"" ""2.3.5 Ruelle Band Spectrum for Contact Anosov Vector Fields""""2.3.5.1 Case of Geodesic Flow on Constant Curvature Surface""; ""2.3.5.2 General Case""; ""2.3.5.3 Consequence for Correlation Functions Expansion""; ""2.3.5.4 Proof of Theorem 2.10""; ""2.4 Trace Formula and Zeta Functions""; ""2.4.1 Gutzwiller Trace Formula for Anosov Prequantum Map""; ""2.4.1.1 The Question of Existence of a ``Natural Quantization''""; ""2.4.2 Gutzwiller Trace Formula for Contact Anosov Flows""; ""2.4.2.1 Zeta Function""; ""2.4.2.2 Application: Counting Periodic Orbits"" ""2.4.2.3 Semiclassical Zeta Function"" |
| Record Nr. | UNINA-9910299990103321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dynamical Systems [[electronic resource] ] : An Introduction / / by Luis Barreira, Claudia Valls
| Dynamical Systems [[electronic resource] ] : An Introduction / / by Luis Barreira, Claudia Valls |
| Autore | Barreira Luis |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | London : , : Springer London : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515.352 |
| Collana | Universitext |
| Soggetto topico |
Dynamics
Ergodic theory Global analysis (Mathematics) Manifolds (Mathematics) Differential equations Hyperbolic geometry Dynamical Systems and Ergodic Theory Global Analysis and Analysis on Manifolds Ordinary Differential Equations Hyperbolic Geometry |
| ISBN | 1-4471-4835-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Basic Notions and Examples -- Topological Dynamics -- Low-Dimensional Dynamics -- Hyperbolic Dynamics I -- Hyperbolic Dynamics II -- Symbolic Dynamics -- Ergodic Theory. |
| Record Nr. | UNINA-9910438158003321 |
Barreira Luis
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| London : , : Springer London : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Metrical and Dynamical Aspects in Complex Analysis [[electronic resource] /] / edited by Léa Blanc-Centi
| Metrical and Dynamical Aspects in Complex Analysis [[electronic resource] /] / edited by Léa Blanc-Centi |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XIV, 173 p.) |
| Disciplina | 514.223 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Functions of complex variables
Hyperbolic geometry Dynamics Ergodic theory Several Complex Variables and Analytic Spaces Hyperbolic Geometry Dynamical Systems and Ergodic Theory |
| ISBN | 3-319-65837-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Invariant Distances -- 2. Dynamics in Several Complex Variables -- 3. Gromov Hyperbolic Spaces and Applications to Complex Analysis -- 4. Gromov Hyperbolicity of Bounded Convex Domains -- 5. Quasi-conformal Mappings -- 6. Carleson Measures and Toeplitz Operators. References. |
| Record Nr. | UNINA-9910257378803321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Metrical and Dynamical Aspects in Complex Analysis [[electronic resource] /] / edited by Léa Blanc-Centi
| Metrical and Dynamical Aspects in Complex Analysis [[electronic resource] /] / edited by Léa Blanc-Centi |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XIV, 173 p.) |
| Disciplina | 514.223 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Functions of complex variables
Hyperbolic geometry Dynamics Ergodic theory Several Complex Variables and Analytic Spaces Hyperbolic Geometry Dynamical Systems and Ergodic Theory |
| ISBN | 3-319-65837-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Invariant Distances -- 2. Dynamics in Several Complex Variables -- 3. Gromov Hyperbolic Spaces and Applications to Complex Analysis -- 4. Gromov Hyperbolicity of Bounded Convex Domains -- 5. Quasi-conformal Mappings -- 6. Carleson Measures and Toeplitz Operators. References. |
| Record Nr. | UNISA-996466644303316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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The Spectrum of Hyperbolic Surfaces [[electronic resource] /] / by Nicolas Bergeron
| The Spectrum of Hyperbolic Surfaces [[electronic resource] /] / by Nicolas Bergeron |
| Autore | Bergeron Nicolas |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XIII, 370 p. 8 illus. in color.) |
| Disciplina | 516.9 |
| Collana | Universitext |
| Soggetto topico |
Hyperbolic geometry
Harmonic analysis Dynamics Ergodic theory Hyperbolic Geometry Abstract Harmonic Analysis Dynamical Systems and Ergodic Theory |
| ISBN | 9783319276649 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction -- Arithmetic Hyperbolic Surfaces -- Spectral Decomposition -- Maass Forms -- The Trace Formula -- Multiplicity of lambda1 and the Selberg Conjecture -- L-Functions and the Selberg Conjecture -- Jacquet-Langlands Correspondence -- Arithmetic Quantum Unique Ergodicity -- Appendices -- References -- Index of notation -- Index -- Index of names. |
| Record Nr. | UNINA-9910254081403321 |
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Bergeron Nicolas
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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