Analytic and Probabilistic Approaches to Dynamics in Negative Curvature / / 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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Birational Geometry of Foliations / / by Marco Brunella |
Autore | Brunella Marco |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (140 p.) |
Disciplina | 510 |
Collana | IMPA Monographs |
Soggetto topico |
Hyperbolic geometry
Number theory Geometry Hyperbolic Geometry Number Theory |
ISBN | 3-319-14310-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction: From Surfaces to Foliations -- Local Theory -- Foliations and Line Bundles -- Index Theorems -- Some Special Foliations -- Minimal Models -- Global 1-forms and Vector Fields -- The Rationality Criterion -- Numerical Kodaira Dimension -- Kodaira Dimension -- References. |
Record Nr. | UNINA-9910299773703321 |
Brunella Marco | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Conversations avec Jules Hoüel : Regards sur la géométrie non euclidienne et l’analyse infinitésimale vers 1875 / / edited by Philippe Henry, Philippe Nabonnand |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 |
Descrizione fisica | 1 online resource (XVII, 632 p.) |
Disciplina | 510.9 |
Collana | Science autour de / around 1900 |
Soggetto topico |
Mathematics
History Hyperbolic geometry History of Mathematical Sciences Hyperbolic Geometry |
ISBN | 3-319-56403-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Nota di contenuto | Préambule -- 1 Introduction -- 2 La correspondance avec Joseph-Marie De Tilly (1870-1885) -- 3 La correspondance avec Gaston Darboux (décembre 1874-avril 1875) -- 4 La correspondance avec Victor-Amédée Le Besgue (1867-1868) -- 5 Documents supplémentaires -- Bibliographie -- Index. |
Record Nr. | UNINA-9910392730303321 |
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Dessins d'enfants on Riemann surfaces / / by Gareth A. Jones, Jürgen Wolfart |
Autore | Jones Gareth A |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (264 p.) |
Disciplina | 510 |
Collana | Springer Monographs in Mathematics |
Soggetto topico |
Algebraic geometry
Group theory Functions of complex variables Hyperbolic geometry Algebraic Geometry Group Theory and Generalizations Functions of a Complex Variable Several Complex Variables and Analytic Spaces Hyperbolic Geometry |
ISBN | 3-319-24711-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Historical and introductory background -- Graph embeddings -- Dessins and triangle groups -- Galois actions -- Quasiplatonic surfaces, and automorphisms -- Regular maps -- Regular embeddings of complete graphs -- Wilson operations -- Further examples -- Arithmetic aspects -- Beauville surfaces. |
Record Nr. | UNINA-9910254061303321 |
Jones Gareth A | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Dynamical Systems : 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 | ||
London : , : Springer London : , : Imprint : Springer, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Elementary geometry in hyperbolic space / Werner Fenchel |
Autore | Fenchel, Werner |
Pubbl/distr/stampa | Berlin ; New York : Walter de Gruyter, 1989 |
Descrizione fisica | xi, 225 p. ; 25 cm |
Disciplina | 516.9 |
Collana | De Gruyter studies in mathematics ; 11 |
Soggetto topico | Hyperbolic geometry |
ISBN | 3110117347 |
Classificazione |
AMS 15A24
AMS 20H10 AMS 51M AMS 51M10 AMS 51M25 LC QA685.F38 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000847279707536 |
Fenchel, Werner | ||
Berlin ; New York : Walter de Gruyter, 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Foundations of hyperbolic manifolds / John G. Ratcliffe |
Autore | Ratcliffe, John G. |
Pubbl/distr/stampa | New York : Springer-Verlag, c1994 |
Descrizione fisica | xi, 747 p. : ill. ; 24 cm. |
Disciplina | 516.9 |
Collana | Graduate texts in mathematics, 0072-5285 ; 149 |
Soggetto topico |
Hyperbolic geometry
Hyperbolic spaces |
ISBN | 0387942491 |
Classificazione |
AMS 20H10
AMS 30F40 AMS 51-01 AMS 51M10 AMS 52A20 AMS 57M50 QA685.R22 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000905699707536 |
Ratcliffe, John G. | ||
New York : Springer-Verlag, c1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Geometric Group Theory : An Introduction / / by Clara Löh |
Autore | Löh Clara |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (XI, 389 p. 119 illus., 100 illus. in color.) |
Disciplina | 512.2 |
Collana | Universitext |
Soggetto topico |
Group theory
Differential geometry Hyperbolic geometry Manifolds (Mathematics) Complex manifolds Graph theory Group Theory and Generalizations Differential Geometry Hyperbolic Geometry Manifolds and Cell Complexes (incl. Diff.Topology) Graph Theory |
ISBN | 3-319-72254-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Introduction -- Part I Groups -- 2 Generating groups -- Part II Groups > Geometry -- 3 Cayley graphs -- 4 Group actions -- 5 Quasi-isometry -- Part III Geometry of groups -- 6 Growth types of groups -- 7 Hyperbolic groups -- 8 Ends and boundaries -- 9 Amenable groups -- Part IV Reference material -- A Appendix -- Bibliography -- Indices. |
Record Nr. | UNINA-9910254295903321 |
Löh Clara | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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The geometry of discrete groups / Alan F. Beardon |
Autore | Beardon, Alan F. |
Pubbl/distr/stampa | New York : Springer-Verlag, c1983 |
Descrizione fisica | xii, 337 p. : ill. ; 24 cm. |
Disciplina | 512.2 |
Collana | Graduate texts in mathematics, 0072-5285 ; 91 |
Soggetto topico |
Discrete groups
Hyperbolic geometry Isometrics Mobius transformations |
ISBN | 0387907882 |
Classificazione |
AMS 20F32
AMS 20H AMS 30-01 AMS 30-XX AMS 30C AMS 30F AMS 51M10 QA171.B364 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000948389707536 |
Beardon, Alan F. | ||
New York : Springer-Verlag, c1983 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Geometry of hypersurfaces / / by Thomas E. Cecil, Patrick J. Ryan |
Autore | Cecil Thomas E |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (601 p.) |
Disciplina | 510 |
Collana | Springer Monographs in Mathematics |
Soggetto topico |
Differential geometry
Topological groups Lie groups Hyperbolic geometry Differential Geometry Topological Groups, Lie Groups Hyperbolic Geometry |
ISBN | 1-4939-3246-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- 1. Introduction -- 2. Submanifolds of Real Space Forms -- 3. Isoparametric Hypersurfaces -- 4. Submanifolds in Lie Sphere Geometry -- 5. Dupin Hypersurfaces -- 6. Real Hypersurfaces in Complex Space Forms -- 7. Complex Submanifolds of CPn and CHn -- 8. Hopf Hypersurfaces -- 9. Hypersurfaces in Quaternionic Space Forms -- Appendix A. Summary of Notation -- References -- Index. |
Record Nr. | UNINA-9910300253903321 |
Cecil Thomas E | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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