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. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 |
Milnor John W (John Willard), <1931-> | ||
Princeton, N.J., : Princeton University Press, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess |
Autore | Fornaess John Erik |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (468 pages) : illustrations |
Disciplina | 515.9/4 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Functions of several complex variables |
Soggetto non controllato |
Analytic continuation
Analytic function Analytic set Analytic space Asymptotic expansion Automorphic function Axiom Base change Bergman metric Betti number Big O notation Bilinear form Boundary value problem CR manifold Canonical bundle Cauchy problem Cauchy–Riemann equations Characteristic variety Codimension Coefficient Cohomology ring Cohomology Commutative property Commutator Compactification (mathematics) Complete intersection Complete metric space Complex dimension Complex manifold Complex number Complex plane Complex projective space Complex space Complex-analytic variety Degeneracy (mathematics) Dense set Determinant Diffeomorphism Differentiable function Dimension (vector space) Dimension Eigenvalues and eigenvectors Embedding Existential quantification Explicit formulae (L-function) Fermat curve Fiber bundle Fundamental solution Gorenstein ring Hartogs' extension theorem Hilbert space Hilbert transform Holomorphic function Homotopy Hyperfunction Hypersurface Hypoelliptic operator Interpolation theorem Irreducible component Isometry Linear map Manifold Maximal ideal Monic polynomial Monotonic function Multiple integral Nilpotent Lie algebra Norm (mathematics) Open set Orthogonal group Parametrization Permutation Plurisubharmonic function Polynomial Principal bundle Principal part Principal value Projection (linear algebra) Projective line Proper map Quadratic function Real projective space Resolution of singularities Riemann surface Riemannian manifold Sectional curvature Sheaf cohomology Special case Submanifold Subset Symplectic vector space Tangent space Theorem Topology Uniqueness theorem Unit disk Unit sphere Variable (mathematics) Vector bundle Vector field |
ISBN | 1-4008-8154-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- THE FOUNDING OF THE ANNALS STUDIES -- FOREWORD -- TABLE OF CONTENTS -- PROJECTIVE CAPACITY / Alexander, H. -- ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES / Biancofiore, Aldo / Stoll, Wilhelm -- GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM Ē8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C2 / Brenton, Lawrence / Drucker, Daniel / Prins, Geert C. E. -- ON METRICS AND DISTORTION THEOREMS / Burbea, Jacob -- NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE ∂̅-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS / Catlin, David -- DAS FORMALE PRINZIP FÜR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL / Commichau, Michael / Grauert, Hans -- PERTURBATIONS OF ANALYTIC VARIETIES / D'Angelo, John P. -- BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES / Diederich, Klas / Fornaess, John Erik -- NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE (∂̅-PROBLEM) / Diederich, Klas / Pflug, Peter -- THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS / Ehrenpreis, Leon -- THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn / Graham, Ian -- STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS / Greene, R. E. / Krantz, Steven G. -- GLOBALE HOLOMORPHE KERNE ZUR LÖSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN / Hortmann, Michael -- MAPPINGS BETWEEN CR MANIFOLDS / Jacobowitz, Howard -- BOUNDARY REGULARITY OF ∂̅ / Kohn, J. J. -- ON CP1 AS AN EXCEPTIONAL SET / Laufer, Henry B. -- ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C2 / Lee, Hsuan-Pei / Wermer, John -- A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN'S THEOREM B / Markoe, Andrew -- SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS / Morrow, J. / Rossi, H. -- LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES / Nagel, Alexander / Wainger, Stephen -- ON APPELL'S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS / Sasaki, Takeshi / Takano, Kyoichi -- A CLASS OF HYPERBOLIC MANIFOLDS / Sibony, Nessim -- INTERPOLATION MANIFOLDS / Stout, Edgar Lee -- SURVEY OF SOME RECENT RESULTS IN C∞ AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES / Tartakoff, David S. -- THE FERMAT SURFACE AND ITS PERIODS / Tretkoff, Marvin D. -- SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS / Yau, Stephen S. -T. |
Record Nr. | UNINA-9910154749403321 |
Fornaess John Erik | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Seminar on Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai |
Autore | Guillemin Victor |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (148 pages) |
Disciplina | 515 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Mathematical analysis |
Soggetto non controllato |
Addition
Analytic function Analytic manifold Asymptotic analysis Bernhard Riemann Boundary value problem Bounded operator Cartan subgroup Characterization (mathematics) Class function (algebra) Closed-form expression Codimension Cohomology Compact space Comparison theorem Contact geometry Continuous function Continuous linear operator Convex hull Cotangent bundle D-module Degenerate bilinear form Diagonal matrix Differentiable manifold Differential operator Dimension (vector space) Dimension Elliptic partial differential equation Equation Existence theorem Fourier integral operator Generic point Group theory Harmonic analysis Holomorphic function Holonomic Homogeneous space Hyperfunction Hypersurface Identity element Irreducible representation Killing form Lagrangian (field theory) Lie algebra Lie group Linear differential equation Locally compact space Masaki Kashiwara Maximal ideal Monodromy Natural number Neighbourhood (mathematics) Ordinary differential equation Orthogonal complement Partial differential equation Path integral formulation Proper map Pseudo-differential operator Regularity theorem Sigurdur Helgason (mathematician) Submanifold Subset Summation Symmetric space Symplectic geometry Tangent cone Theorem Topological space Vector bundle Victor Guillemin Weyl group |
ISBN | 1-4008-8157-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- INTRODUCTION TO THE THEORY OF HYPERFUNCTIONS / Kashiwara, Masaki -- SOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS / Kashiwara, Masaki / Kawai, Takahiro -- A SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES / Guillemin, Victor -- SOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES / Guillemin, Victor -- ON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES / Kashiwara, Masaki / Kawai, Takahiro -- MICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES / Kashiwara, Masaki / Kawai, Takahiro -- Backmatter |
Record Nr. | UNINA-9910154746003321 |
Guillemin Victor | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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