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Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen
| Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (229 pages) : illustrations |
| Disciplina | 530.1/43/0151 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Renormalization (Physics)
Polynomials Dynamics Mathematical physics |
| Soggetto non controllato |
Analytic function
Attractor Automorphism Bernhard Riemann Bounded set Branched covering Cantor set Cardioid Chain rule Coefficient Combinatorics Complex manifold Complex plane Complex torus Conformal geometry Conformal map Conjecture Connected space Covering space Cyclic group Degeneracy (mathematics) Dense set Diagram (category theory) Diameter Differential geometry of surfaces Dihedral group Dimension (vector space) Dimension Disjoint sets Disk (mathematics) Dynamical system Endomorphism Equivalence class Equivalence relation Ergodic theory Euler characteristic Filled Julia set Geometric function theory Geometry Hausdorff dimension Holomorphic function Homeomorphism Homology (mathematics) Hyperbolic geometry Implicit function theorem Injective function Integer matrix Interval (mathematics) Inverse limit Julia set Kleinian group Limit point Limit set Linear map Mandelbrot set Manifold Markov partition Mathematical induction Maxima and minima Measure (mathematics) Moduli (physics) Monic polynomial Montel's theorem Möbius transformation Natural number Open set Orbifold Periodic point Permutation Point at infinity Pole (complex analysis) Polynomial Proper map Quadratic differential Quadratic function Quadratic Quasi-isometry Quasiconformal mapping Quotient space (topology) Removable singularity Renormalization Riemann mapping theorem Riemann sphere Riemann surface Rigidity theory (physics) Scalar (physics) Schwarz lemma Scientific notation Special case Structural stability Subgroup Subsequence Symbolic dynamics Tangent space Theorem Uniformization theorem Uniformization Union (set theory) Unit disk Upper and lower bounds |
| ISBN | 1-4008-8255-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Background in conformal geometry -- Chapter 3. Dynamics of rational maps -- Chapter 4. Holomorphic motions and the Mandelbrot set -- Chapter 5. Compactness in holomorphic dynamics -- Chapter 6. Polynomials and external rays -- Chapter 7. Renormalization -- Chapter 8. Puzzles and infinite renormalization -- Chapter 9. Robustness -- Chapter 10. Limits of renormalization -- Chapter 11. Real quadratic polynomials -- Appendix A. Orbifolds -- Appendix B. A closing lemma for rational maps -- Bibliography -- Index |
| Record Nr. | UNINA-9910154745403321 |
McMullen Curtis T.
|
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910465353703321 |
|
McMullen Curtis T.
|
||
| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910786510603321 |
|
McMullen Curtis T.
|
||
| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910816804803321 |
|
McMullen Curtis T.
|
||
| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||