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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 Geometry, Hyperbolic Geometry, Differential 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 |
Geometry, Hyperbolic
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 Geometry, Hyperbolic 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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Elliptic Functions and Modular Forms / / by Max Koecher, Aloys Krieg
| Elliptic Functions and Modular Forms / / by Max Koecher, Aloys Krieg |
| Autore | Koecher Max |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (373 pages) |
| Disciplina | 516.9 |
| Collana | Universitext |
| Soggetto topico |
Functions of complex variables
Number theory Geometry, Hyperbolic Group theory Functions of a Complex Variable Number Theory Hyperbolic Geometry Group Theory and Generalizations |
| ISBN | 3-662-71224-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Elliptic functions -- 2 Geometry in the upper-half plane and the action of the modular group -- 3 Modular forms -- 4 The Hecke-Petersson theory -- 5 Theta series. |
| Record Nr. | UNINA-9911001456503321 |
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Koecher Max
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Essays on Topology : Dedicated to Valentin Poénaru / / edited by Louis Funar, Athanase Papadopoulos
| Essays on Topology : Dedicated to Valentin Poénaru / / edited by Louis Funar, Athanase Papadopoulos |
| Autore | Funar Louis |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (1275 pages) |
| Disciplina | 514 |
| Altri autori (Persone) | PapadopoulosAthanase |
| Soggetto topico |
Topology
Geometry Geometry, Differential Geometry, Hyperbolic Differential Geometry Hyperbolic Geometry |
| ISBN | 3-031-81414-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction, by Louis Funar and Athanase Papadopoulos -- 2 Primes, Knots and Po, by Barry Mazur -- 3 A short history of open manifolds related to complex analytic coordinates, by Dennis Sullivan -- 4 Universal Spin Teichmüller Theory, I: The action of P(SL(2,Z)) on T ess+, by Robert C. Penner -- 5 Universal Spin Teichmüller Theory, II: Finite presentation of P(SL(2,Z)), by Robert C. Penner -- 6 Geometry of Fermat’s sum of squares, by Greg McShane and Vlad Sergiescu -- 7 Ends and compactifications in geometric topology, by Ken’ichi Ohshika -- 8 Axiomatic phylogenetics, by Vladimir Turaev -- 9 About the diffeomorphisms of the 3-sphere and a famous theorem of Cerf (Γ4 = 0), by François Laudenbach -- 10 Holomorphic tensors on Vaisman manifolds, by Liviu Ornea and Misha Verbitsky -- 11 On the topology of monotone Lagrangians of high dimension, by Mihai Damian -- 12 Kervaire Problems in Stable Homotopy Theory, by Petr M. Akhmet’ev -- 13 Lifting generic maps to embeddings, The double point obstruction, by Sergey A. Melikhov -- 14 “Barcodes” for continuous maps and a brief introduction to Alternative Morse Theory, by Dan Burghelea -- 15 A note on the quasi simple filtration of finite groups, by Francesco Russo -- 16 Lifting maps between graphs to embeddings, by Alexey Gorelov -- 17 A note on the discriminant loci of a hypersurface of bi-degree (m, n), by Susumu Tanabé -- 18 Welded graphs, Wirtinger groups and punctured spheres, by Benjamin Audoux, Jean-Baptiste Meilhan and Akira Yasuhara -- 19 On geometric representation of L-homology classes, by Friedrich Hegenbarth and Dušan D. Repovš -- 20 On elementary invariants of genus one knots and Seifert surfaces, by Christine Lescop -- 21 On a family of hyperbolic Brunnian links and their volumes, by Dušan D. Repovš and Andrei Yu. Vesnin -- 22 SL(2, Z), les tresses à trois brins, le tore modulaire et Aut+(F2), (d’après Emil Artin et Jacob Nielsen), by Alexis Marin -- 23 “All the resources of pure mathematics”: Mathematical physics and mathematics as physics, by Arkady Plotnitsky -- 24 The case for absolute geometry, by Victor Pambuccian -- 25 The Reconstruction of Theaetetus’ Theory of Ratios of Magnitudes, by Stelios Negrepontis and Dimitrios Protopapas -- 26 Notice de travaux, by Valentin Poénaru -- 27 Mathematical Adventures: A letter to Barry Mazur, by Valentin Poénaru -- 28 Adventures in physics, by Valentin Poénaru -- 29 Dimitru Poénaru, my father, by Valentin Poénaru -- 30 Father Andrei, by Valentin Poénaru -- 31 The magic summer of 1964, by Valentin Poénaru -- 32 Po, a mathematician between humanism and science, Corrado Tanasi and Franco Marchese. |
| Record Nr. | UNINA-9911015965403321 |
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Funar Louis
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| 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 Teoria geomètrica de funcions Geometria hiperbòlica Functions of a Complex Variable Hyperbolic Geometry |
| Soggetto genere / forma | Llibres electrònics |
| 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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