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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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Geometric Group Theory [[electronic resource] ] : An Introduction / / by Clara Löh
| Geometric Group Theory [[electronic resource] ] : 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
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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 [[electronic resource] /] / by Thomas E. Cecil, Patrick J. Ryan
| Geometry of hypersurfaces [[electronic resource] /] / 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 |
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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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Hermitian–Grassmannian Submanifolds [[electronic resource] ] : Daegu, Korea, July 2016 / / edited by Young Jin Suh, Yoshihiro Ohnita, Jiazu Zhou, Byung Hak Kim, Hyunjin Lee
| Hermitian–Grassmannian Submanifolds [[electronic resource] ] : Daegu, Korea, July 2016 / / edited by Young Jin Suh, Yoshihiro Ohnita, Jiazu Zhou, Byung Hak Kim, Hyunjin Lee |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XI, 360 p. 15 illus., 7 illus. in color.) |
| Disciplina | 516.36 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Differential geometry
Global analysis (Mathematics) Manifolds (Mathematics) Hyperbolic geometry Integral transforms Operational calculus Differential Geometry Global Analysis and Analysis on Manifolds Hyperbolic Geometry Integral Transforms, Operational Calculus |
| ISBN | 981-10-5556-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Constant mean curvature spacelike hypersurfaces in spacetimes with certain causal symmetries -- Sequences of maximal antipodal sets of oriented real Grassmann manifolds II -- Derivative on real hypersurfaces of non-flat complex space forms -- Maximal antipodal subgroups of the automorphism groups of compact Lie algebras -- A nearly K{\"a}hler submanifold with vertically pluri-harmonic lift -- The Schwarz lemma for super-conformal maps -- Reeb recurrent structure Jacobi operator on real hypersurfaces in complex two-plane Grassmannians -- Hamiltonian non-displaceability of the Gauss images of isoparametric hypersurfaces -- Counterexamples to Goldberg Conjecture with reversed orientation on Walker 8-manifolds of neutral signature -- A construction of weakly reflective submanifolds in compact symmetric spaces -- The dual Orlicz mixed Quermassintegral -- Characterizations of a Clifford hypersurface in a unit sphere -- 3-dimensional real hypersurfaces with $\eta$-harmonic curvature -- Gromov-Witten Invariants on the products of Almost Contact Metric Manifolds -- On LVMB, but not LVM, manifolds -- Inequalities for algebraic Casorati curvatures and their applications -- Volume-preserving mean curvature flow for tubes in rank one symmetric spaces of non-compact type -- A duality between compact symmetric triads and semisimple pseudo-Riemannian symmetric pairs with applications to geometry of Hermann type actions -- Transversally complex submanifolds of a quaternion projective space -- On Floer homology of the Gauss images of isoparametric hypersurfaces -- On the pointwise slant submanifolds -- Riemannian Hilbert manifolds -- Real hypersurfaces in Hermitian symmetric space of rank~two with Killing shape operator -- The Chern-Moser-Tanaka invariant on pseudo-Hermitian almost CR manifolds -- Bott Periodicity, Submanifolds, and Vector Bundles -- The solvable models of noncompact real two-plane Grassmannians and some applications -- Biharmonic homogeneous submanifolds in compact symmetric spaces -- Recent results on real Hypersurfaces in Complex quadrics. |
| Record Nr. | UNINA-9910254307503321 |
| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero
| Recent trends in Lorentzian geometry [[electronic resource] /] / edited by Miguel Sánchez, Miguel Ortega, Alfonso Romero |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (356 p.) |
| Disciplina | 516.362 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Convex geometry
Discrete geometry Hyperbolic geometry Differential geometry Convex and Discrete Geometry Hyperbolic Geometry Differential Geometry |
| Soggetto genere / forma | Conference proceedings. |
| ISBN |
1-283-84902-X
1-4614-4897-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Recent Trends in Lorentzian Geometry; Preface; Contents; Hyperbolic Metrics on Riemann Surfaces and Space-Like CMC-1 Surfaces in de Sitter 3-Space; 1 Generalized CMC-1 Faces in de Sitter 3-Space; 2 Extended Hyperbolic Metrics on Riemann Surfaces; 3 Fundamental Properties of Co-orientable Extended Hyperbolic Metrics; 4 Classification of de Sitter Catenoids; 5 Hyperbolic Metrics with At Most Two Regular Singularities; Appendix A: Projective Connections; Appendix B: A Property of Subgroups in PSU(1,1); References
Calabi-Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces1 Introduction; 2 The Classical Calabi-Bernstein Theorem in R31; 2.1 Space-Like Graphs and the Calabi-Bernstein Theorem; 2.2 Romero's Proof Based on the Liouville Theorem for Harmonic Functions on R2; 2.3 Alías and Palmer's Proof Based on a Duality Result; 2.4 Alías and Palmer's Proof Based on a Local Integral Inequality for the Gaussian Curvature; 3 Some Preliminaries on Lorentzian Product Spaces; 4 A Parametric Version of a Calabi-Bernstein Result; 5 A Nonparametric Version of a Calabi-Bernstein Result 6 Some Nontrivial Entire Maximal Graphs in H2R16.1 Duality Between Minimal and Maximal Graphs; 6.2 More Examples; 7 Relative Parabolicity of Maximal Surfaces; 7.1 Relative Parabolicity and Entire Maximal Graphs; 8 A Local Estimate for Maximal Surfaces in a Lorentzian Product Space; References; Umbilical-Type Surfaces in SpaceTime; 1 Introduction; 2 Basic Concepts and Notation; 2.1 Extrinsic Geometry: Second Fundamental Forms and Weingarten Operators; 2.2 Special Bases on x(S); 2.3 The Mean Curvature Vector Field H and Its Causal Character; 2.4 The Extrinsic Vector Field G 2.5 The Normal Connection One-Form s2.6 Curvatures: Gauss and Ricci Equations; 3 Umbilical-Type, Pseudo-umbilical, and Related Surfaces; 4 Proof of the Main Theorems; 5 Some Important Corollaries and Consequences; 6 Final Considerations; References; Stability of Marginally Outer Trapped Surfaces and Applications; 1 Introduction; 2 Definition of Marginally Outer Trapped Surface; 2.1 Geometry of Spacelike Surfaces; 2.2 Marginally Outer Trapped Surfaces; 3 Stability of MOTS; 3.1 Principal Eigenvalue of the Stability Operator; 3.2 Dependence of the Stability Properties on the Direction 4 Barrier Properties of MOTS4.1 MOTS and Symmetries; 5 MOTS and Killing Horizons; 5.1 Killing Horizons; 5.2 Stability Operator of MOTS in Killing Horizons; 6 Axially Symmetric MOTS and Angular Momentum; References; Area Inequalities for Stable Marginally Trapped Surfaces; 1 Introduction; 2 Geometric and Physical Elements; 2.1 Geometry of 2-Surfaces; 2.1.1 Axisymmetry; 2.2 Electromagnetic Field; 2.2.1 Yang-Mills Fields; 3 Stability of Marginally Outer Trapped Surfaces; 3.1 Basic Definitions; 3.2 Integral-Inequality Characterizations of MOTS Stability 3.3 Variants to the Stably Outermost Condition |
| Record Nr. | UNINA-9910438156603321 |
| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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