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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 | ||
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Dynamics in one complex variable [[electronic resource] /] / by John Milnor
| Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
| Autore | Milnor John W (John Willard), <1931-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
515.93
515/.93 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
| Soggetto non controllato |
Absolute value
Addition Algebraic equation Attractor Automorphism Beltrami equation Blaschke product Boundary (topology) Branched covering Coefficient Compact Riemann surface Compact space Complex analysis Complex number Complex plane Computation Connected component (graph theory) Connected space Constant function Continued fraction Continuous function Coordinate system Corollary Covering space Cross-ratio Derivative Diagram (category theory) Diameter Diffeomorphism Differentiable manifold Disjoint sets Disjoint union Disk (mathematics) Division by zero Equation Euler characteristic Existential quantification Exponential map (Lie theory) Fundamental group Harmonic function Holomorphic function Homeomorphism Hyperbolic geometry Inequality (mathematics) Integer Inverse function Irrational rotation Iteration Jordan curve theorem Julia set Lebesgue measure Lecture Limit point Line segment Linear map Linearization Mandelbrot set Mathematical analysis Maximum modulus principle Metric space Monotonic function Montel's theorem Normal family Open set Orbifold Parameter space Parameter Periodic point Point at infinity Polynomial Power series Proper map Quadratic function Rational approximation Rational function Rational number Real number Riemann sphere Riemann surface Root of unity Rotation number Schwarz lemma Scientific notation Sequence Simply connected space Special case Subgroup Subsequence Subset Summation Tangent space Theorem Topological space Topology Uniform convergence Uniformization theorem Unit circle Unit disk Upper half-plane Winding number |
| ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
| Record Nr. | UNINA-9910791879203321 |
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Milnor John W (John Willard), <1931->
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| Princeton, N.J., : Princeton University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
| Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin |
| Autore | Astala Kari <1953-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (696 p.) |
| Disciplina | 515/.93 |
| Altri autori (Persone) |
IwaniecTadeusz
MartinGaven |
| Collana | Princeton mathematical series |
| Soggetto topico |
Differential equations, Elliptic
Quasiconformal mappings |
| Soggetto non controllato |
Adjoint equation
Analytic function Analytic proof Banach space Beltrami equation Boundary value problem Bounded mean oscillation Calculus of variations Cantor function Cartesian product Cauchy–Riemann equations Central limit theorem Characterization (mathematics) Complex analysis Complex plane Conformal geometry Conformal map Conjugate variables Continuous function (set theory) Coordinate space Degeneracy (mathematics) Differential equation Directional derivative Dirichlet integral Dirichlet problem Disk (mathematics) Distribution (mathematics) Elliptic operator Elliptic partial differential equation Equation Equations of motion Euler–Lagrange equation Explicit formulae (L-function) Factorization Fourier transform Fubini's theorem Geometric function theory Geometric measure theory Geometry Harmonic conjugate Harmonic function Harmonic map Harmonic measure Hilbert transform Holomorphic function Homeomorphism Hyperbolic geometry Hyperbolic trigonometry Invertible matrix Jacobian matrix and determinant Julia set Lagrangian (field theory) Laplace's equation Limit (mathematics) Linear differential equation Linear equation Linear fractional transformation Linear map Linearization Lipschitz continuity Locally integrable function Lusin's theorem Mathematical optimization Mathematics Maxima and minima Maxwell's equations Measure (mathematics) Metric space Mirror symmetry (string theory) Moduli space Modulus of continuity Monodromy theorem Monotonic function Montel's theorem Operator (physics) Operator theory Partial derivative Partial differential equation Poisson formula Polynomial Quadratic function Quasiconformal mapping Quasiconvex function Quasisymmetric function Renormalization Riemann sphere Riemann surface Riemannian geometry Riesz transform Riesz–Thorin theorem Sign (mathematics) Sobolev space Square-integrable function Support (mathematics) Theorem Two-dimensional space Uniformization theorem Upper half-plane Variable (mathematics) Weyl's lemma (Laplace equation) |
| ISBN |
1-282-15727-2
9786612157271 1-4008-3011-7 |
| Classificazione | SK 560 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910778138403321 |
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Astala Kari <1953->
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| Princeton, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
| Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
| Autore | Cordaro Paulo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (398 pages) |
| Disciplina | 515/.782 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hyperfunctions
Submanifolds |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
| ISBN | 1-4008-8256-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| Record Nr. | UNINA-9910154744403321 |
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Cordaro Paulo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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