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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
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Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (445 pages) : illustrations
Disciplina 512/.73
Collana Annals of Mathematics Studies
Soggetto topico Exponential sums
Differential equations
Soggetto non controllato Adjoint representation
Algebraic geometry
Algebraic integer
Algebraically closed field
Automorphism
Base change
Bernard Dwork
Big O notation
Bijection
Calculation
Characteristic polynomial
Codimension
Coefficient
Cohomology
Comparison theorem
Complex manifold
Conjugacy class
Connected component (graph theory)
Convolution
Determinant
Diagram (category theory)
Differential Galois theory
Differential equation
Dimension (vector space)
Dimension
Direct sum
Divisor
Eigenvalues and eigenvectors
Endomorphism
Equation
Euler characteristic
Existential quantification
Exponential sum
Fiber bundle
Field of fractions
Finite field
Formal power series
Fourier transform
Fundamental group
Fundamental representation
Galois extension
Galois group
Gauss sum
Generic point
Group theory
Homomorphism
Hypergeometric function
Identity component
Identity element
Integer
Irreducibility (mathematics)
Irreducible representation
Isogeny
Isomorphism class
L-function
Laurent polynomial
Lie algebra
Logarithm
Mathematical induction
Matrix coefficient
Maximal compact subgroup
Maximal torus
Mellin transform
Monic polynomial
Monodromy theorem
Monodromy
Monomial
Natural number
Normal subgroup
P-adic number
Permutation
Polynomial
Prime number
Pullback
Quotient group
Reductive group
Regular singular point
Representation theory
Ring homomorphism
Root of unity
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Subring
Subset
Summation
Surjective function
Symmetric group
Tensor product
Theorem
Theory
Three-dimensional space (mathematics)
Torsor (algebraic geometry)
Trichotomy (mathematics)
Unitarian trick
Unitary group
Variable (mathematics)
ISBN 1-4008-8243-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References
Record Nr. UNINA-9910154744703321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
Autore Harris Michael
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2001]
Descrizione fisica 1 online resource (288 p.)
Disciplina 516.3/5
Collana Annals of Mathematics Studies
Soggetto topico Mathematics
Shimura varieties
MATHEMATICS / Number Theory
Soggetto non controllato Abelian variety
Absolute value
Algebraic group
Algebraically closed field
Artinian
Automorphic form
Base change
Bijection
Canonical map
Codimension
Coefficient
Cohomology
Compactification (mathematics)
Conjecture
Corollary
Dimension (vector space)
Dimension
Direct limit
Division algebra
Eigenvalues and eigenvectors
Elliptic curve
Embedding
Equivalence class
Equivalence of categories
Existence theorem
Field of fractions
Finite field
Function field
Functor
Galois cohomology
Galois group
Generic point
Geometry
Hasse invariant
Infinitesimal character
Integer
Inverse system
Isomorphism class
Lie algebra
Local class field theory
Maximal torus
Modular curve
Moduli space
Monic polynomial
P-adic number
Prime number
Profinite group
Residue field
Ring of integers
Separable extension
Sheaf (mathematics)
Shimura variety
Simple group
Special case
Spectral sequence
Square root
Subset
Tate module
Theorem
Transcendence degree
Unitary group
Valuative criterion
Variable (mathematics)
Vector space
Weil group
Weil pairing
Zariski topology
ISBN 1-4008-3720-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index
Record Nr. UNINA-9910791960703321
Harris Michael  
Princeton, NJ : , : Princeton University Press, , [2001]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant
Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant
Autore Golub Gene H (Gene Howard), <1932-2007.>
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2010
Descrizione fisica 1 online resource (376 p.)
Disciplina 512.9434
Altri autori (Persone) MeurantGérard A
Collana Princeton series in applied mathematics
Soggetto topico Matrices
Numerical analysis
Soggetto non controllato Algorithm
Analysis of algorithms
Analytic function
Asymptotic analysis
Basis (linear algebra)
Basis function
Biconjugate gradient method
Bidiagonal matrix
Bilinear form
Calculation
Characteristic polynomial
Chebyshev polynomials
Coefficient
Complex number
Computation
Condition number
Conjugate gradient method
Conjugate transpose
Cross-validation (statistics)
Curve fitting
Degeneracy (mathematics)
Determinant
Diagonal matrix
Dimension (vector space)
Eigenvalues and eigenvectors
Equation
Estimation
Estimator
Exponential function
Factorization
Function (mathematics)
Function of a real variable
Functional analysis
Gaussian quadrature
Hankel matrix
Hermite interpolation
Hessenberg matrix
Hilbert matrix
Holomorphic function
Identity matrix
Interlacing (bitmaps)
Inverse iteration
Inverse problem
Invertible matrix
Iteration
Iterative method
Jacobi matrix
Krylov subspace
Laguerre polynomials
Lanczos algorithm
Linear differential equation
Linear regression
Linear subspace
Logarithm
Machine epsilon
Matrix function
Matrix polynomial
Maxima and minima
Mean value theorem
Meromorphic function
Moment (mathematics)
Moment matrix
Moment problem
Monic polynomial
Monomial
Monotonic function
Newton's method
Numerical analysis
Numerical integration
Numerical linear algebra
Orthogonal basis
Orthogonal matrix
Orthogonal polynomials
Orthogonal transformation
Orthogonality
Orthogonalization
Orthonormal basis
Partial fraction decomposition
Polynomial
Preconditioner
QR algorithm
QR decomposition
Quadratic form
Rate of convergence
Recurrence relation
Regularization (mathematics)
Rotation matrix
Singular value
Square (algebra)
Summation
Symmetric matrix
Theorem
Tikhonov regularization
Trace (linear algebra)
Triangular matrix
Tridiagonal matrix
Upper and lower bounds
Variable (mathematics)
Vector space
Weight function
ISBN 1-282-45801-9
1-282-93607-7
9786612458019
1-4008-3388-4
Classificazione SK 915
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- PART 1. Theory -- Chapter 1. Introduction -- Chapter 2. Orthogonal Polynomials -- Chapter 3. Properties of Tridiagonal Matrices -- Chapter 4. The Lanczos and Conjugate Gradient Algorithms -- Chapter 5. Computation of the Jacobi Matrices -- Chapter 6. Gauss Quadrature -- Chapter 7. Bounds for Bilinear Forms uTƒ(A)v -- Chapter 8. Extensions to Nonsymmetric Matrices -- Chapter 9. Solving Secular Equations -- PART 2. Applications -- Chapter 10. Examples of Gauss Quadrature Rules -- Chapter 11. Bounds and Estimates for Elements of Functions of Matrices -- Chapter 12. Estimates of Norms of Errors in the Conjugate Gradient Algorithm -- Chapter 13. Least Squares Problems -- Chapter 14. Total Least Squares -- Chapter 15. Discrete Ill-Posed Problems -- Bibliography -- Index
Record Nr. UNINA-9910780861503321
Golub Gene H (Gene Howard), <1932-2007.>  
Princeton, N.J., : Princeton University Press, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer
Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer
Autore Laufer Henry B.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (177 pages) : illustrations
Disciplina 515/.92/23
Collana Annals of Mathematics Studies
Soggetto topico Analytic spaces
Singularities (Mathematics)
Soggetto non controllato Analytic function
Analytic set
Analytic space
Automorphism
Bernhard Riemann
Big O notation
Calculation
Chern class
Codimension
Coefficient
Cohomology
Compact Riemann surface
Complex manifold
Computation
Connected component (graph theory)
Continuous function
Contradiction
Coordinate system
Corollary
Covering space
Dimension
Disjoint union
Divisor
Dual graph
Elliptic curve
Elliptic function
Embedding
Existential quantification
Factorization
Fiber bundle
Finite set
Formal power series
Hausdorff space
Holomorphic function
Homeomorphism
Homology (mathematics)
Intersection (set theory)
Intersection number (graph theory)
Inverse limit
Irreducible component
Isolated singularity
Iteration
Lattice (group)
Line bundle
Linear combination
Line–line intersection
Local coordinates
Local ring
Mathematical induction
Maximal ideal
Meromorphic function
Monic polynomial
Nilpotent
Normal bundle
Open set
Parameter
Plane curve
Pole (complex analysis)
Power series
Presheaf (category theory)
Projective line
Quadratic transformation
Quantity
Riemann surface
Riemann–Roch theorem
Several complex variables
Submanifold
Subset
Tangent bundle
Tangent space
Tensor algebra
Theorem
Topological space
Transition function
Two-dimensional space
Variable (mathematics)
Zero divisor
Zero of a function
Zero set
ISBN 1-4008-8174-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES -- CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER IV. EXCEPTIONAL SETS -- CHAPTER V. MINIMAL RESOLUTIONS -- CHAPTER VI. EQUIVALENCE OF EMBEDDINGS -- CHAPTER VII. THE LOCAL RING STRUCTURE -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154751503321
Laufer Henry B.  
Princeton, NJ : , : Princeton University Press, , [2016]
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]
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