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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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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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Elementary geometry in hyperbolic space / Werner Fenchel
| 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 |
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Fenchel, Werner
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| 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
| 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 |
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Ratcliffe, John G.
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| New York : Springer-Verlag, c1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The geometry of discrete groups / Alan F. Beardon
| 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 |
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Beardon, Alan F.
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| New York : Springer-Verlag, c1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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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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Geometry: from Isometries to Special Relativity [[electronic resource] /] / by Nam-Hoon Lee
| Geometry: from Isometries to Special Relativity [[electronic resource] /] / by Nam-Hoon Lee |
| Autore | Lee Nam-Hoon |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XIII, 258 p. 92 illus., 18 illus. in color.) |
| Disciplina | 516 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Hyperbolic geometry
Convex geometry Discrete geometry Mathematical physics Hyperbolic Geometry Convex and Discrete Geometry Theoretical, Mathematical and Computational Physics |
| ISBN | 3-030-42101-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index. |
| Record Nr. | UNISA-996418184703316 |
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Lee Nam-Hoon
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Geometry: from Isometries to Special Relativity / / by Nam-Hoon Lee
| Geometry: from Isometries to Special Relativity / / by Nam-Hoon Lee |
| Autore | Lee Nam-Hoon |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
| Descrizione fisica | 1 online resource (XIII, 258 p. 92 illus., 18 illus. in color.) |
| Disciplina | 516 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Hyperbolic geometry
Convex geometry Discrete geometry Mathematical physics Hyperbolic Geometry Convex and Discrete Geometry Theoretical, Mathematical and Computational Physics |
| ISBN | 3-030-42101-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index. |
| Record Nr. | UNINA-9910484732403321 |
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Lee Nam-Hoon
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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