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] | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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Princeton, NJ : , : Princeton University Press, , [2001] | ||
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Lo trovi qui: Univ. Federico II | ||
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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.>
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Princeton, N.J., : Princeton University Press, c2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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