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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.  
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
Milnor John W (John Willard), <1931->  
Princeton, N.J., : Princeton University Press, 2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Recent Developments in Several Complex Variables. (AM-100), Volume 100 / / John Erik Fornaess
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
Opac: Controlla la disponibilità qui
Seminar on Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai
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
Opac: Controlla la disponibilità qui