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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature / / edited by Françoise Dal'Bo, Marc Peigné, Andrea Sambusetti
| 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
| 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
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| 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
| 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
| 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 |
Geometry, Algebraic
Group theory Functions of complex variables Geometry, Hyperbolic 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 |
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Jones Gareth A
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| 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
| 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 |
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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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Euclidean, Non-Euclidean, and Transformational Geometry : A Deductive Inquiry / / by Shlomo Libeskind, Isa S. Jubran
| Euclidean, Non-Euclidean, and Transformational Geometry : A Deductive Inquiry / / by Shlomo Libeskind, Isa S. Jubran |
| Autore | Libeskind Shlomo |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2024 |
| Descrizione fisica | 1 online resource (680 pages) |
| Disciplina | 516 |
| Altri autori (Persone) | JubranIsa S |
| Soggetto topico |
Convex geometry
Discrete geometry Projective geometry Geometry, Hyperbolic Convex and Discrete Geometry Projective Geometry Hyperbolic Geometry |
| ISBN | 3-031-74153-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Surprising Results and Basic Notions -- Congruence, Constructions, and the Parallel Postulate -- Circles -- Area and the Pythagorean Theorem -- Similarity -- Isometries and Size Transformations -- Composition of Transformations -- More Recent Discoveries -- Inversion -- Hyperbolic Geometry -- Elliptic Geometries -- Projective Geometry -- Taxicab Geometry -- Fractal Geometry -- Solid Geometry. |
| Record Nr. | UNINA-9910897978603321 |
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Libeskind Shlomo
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric Function Theory : A Second Course in Complex Analysis / / by Tom Carroll
| Geometric Function Theory : A Second Course in Complex Analysis / / by Tom Carroll |
| Autore | Carroll Tom |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (358 pages) |
| Disciplina | 515.9 |
| Collana | Springer Undergraduate Mathematics Series |
| Soggetto topico |
Functions of complex variables
Geometry, Hyperbolic Functions of a Complex Variable Hyperbolic Geometry |
| ISBN |
9783031737275
9783031737268 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 2 The Complex Plane - Preparatory Topics -- 3 The Riemann Sphere -- 4 The Hyperbolic Disk -- 5 Normal Families and Value Distribution -- 6 Simply Connected Domains and the Riemann Mapping Theorem -- 7 Runge's Theorem and Further Characterisations of Simply Connected Domains -- 8 Univalent Functions - the Basics -- 9 Carathéodory Convergence of Domains and Hyperbolic Geodesics -- 10 Uniformisation of Planar Domains. |
| Record Nr. | UNINA-9910917784003321 |
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Carroll Tom
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric Group Theory : An Introduction / / by Clara Löh
| 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
Geometry, Differential Geometry, Hyperbolic 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 |
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Löh Clara
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometry of hypersurfaces / / by Thomas E. Cecil, Patrick J. Ryan
| 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 |
Geometry, Differential
Topological groups Lie groups Geometry, Hyperbolic 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 |
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Cecil Thomas E
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometry Through History : Euclidean, Hyperbolic, and Projective Geometries / / by Meighan I. Dillon
| Geometry Through History : Euclidean, Hyperbolic, and Projective Geometries / / by Meighan I. Dillon |
| Autore | Dillon Meighan I |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XII, 350 p. 233 illus. in color.) |
| Disciplina | 519.009 |
| Soggetto topico |
Convex geometry
Discrete geometry Mathematics History Hyperbolic geometry Projective geometry Convex and Discrete Geometry History of Mathematical Sciences Hyperbolic Geometry Projective Geometry |
| ISBN | 3-319-74135-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1. The Elements of Euclid -- 2. Neutral Geometry -- 3. The Hyperbolic Plane -- 4. Hilbert's Grundlagen -- 5. More Euclidean Geometry -- 6. Models for the Hyperbolic Plane -- 7. Affine Geometry -- 8. An Introduction to Projective Geometry -- 9. Algebraic Curves -- 10. Rotations and Quaternions -- Index. |
| Record Nr. | UNINA-9910300127303321 |
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Dillon Meighan I
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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