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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910791746503321 |
Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910809577303321 |
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Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 / / G. Daniel Mostow, Pierre Deligne
| Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 / / G. Daniel Mostow, Pierre Deligne |
| Autore | Deligne Pierre |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (196 pages) : illustrations |
| Disciplina | 515/.25 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hypergeometric functions
Monodromy groups Lattice theory |
| Soggetto non controllato |
Abuse of notation
Algebraic variety Analytic continuation Arithmetic group Automorphism Bernhard Riemann Big O notation Codimension Coefficient Cohomology Commensurability (mathematics) Compactification (mathematics) Complete quadrangle Complex number Complex space Conjugacy class Connected component (graph theory) Coprime integers Cube root Derivative Diagonal matrix Differential equation Dimension (vector space) Discrete group Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Ellipse Elliptic curve Equation Existential quantification Fiber bundle Finite group First principle Fundamental group Gelfand Holomorphic function Hypergeometric function Hyperplane Hypersurface Integer Inverse function Irreducible component Irreducible representation Isolated point Isomorphism class Line bundle Linear combination Linear differential equation Local coordinates Local system Locally finite collection Mathematical proof Minkowski space Moduli space Monodromy Morphism Multiplicative group Neighbourhood (mathematics) Open set Orbifold Permutation Picard group Point at infinity Polynomial ring Projective line Projective plane Projective space Root of unity Second derivative Simple group Smoothness Subgroup Subset Symmetry group Tangent space Tangent Theorem Transversal (geometry) Uniqueness theorem Variable (mathematics) Vector space |
| ISBN | 1-4008-8251-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGMENTS -- §1. INTRODUCTION -- §2. PICARD GROUP AND COHOMOLOGY -- §3. COMPUTATIONS FOR Q AND Q+ -- §4. LAURICELLA'S HYPERGEOMETRIC FUNCTIONS -- §5. GELFAND'S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS -- §6. STRICT EXPONENTS -- §7. CHARACTERIZATION OF HYPERGEOMETRIC-LIKE LOCAL SYSTEMS -- §8. PRELIMINARIES ON MONODROMY GROUPS -- §9. BACKGROUND HEURISTICS -- §10. SOME COMMENSURABILITY THEOREMS -- §11. ANOTHER ISOGENY -- §12. COMMENSURABILITY AND DISCRETENESS -- §13. AN EXAMPLE -- §14. ORBIFOLD -- §15. ELLIPTIC AND EUCLIDEAN μ'S, REVISITED -- §16. LIVNE'S CONSTRUCTION OF LATTICES IN PU(1,2) -- §17. LIN E ARRANGEMENTS: QUESTIONS -- Bibliography |
| Record Nr. | UNINA-9910154745503321 |
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Deligne Pierre
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / Solomon Lefschetz |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (229 pages) |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Nonlinear oscillations |
| Soggetto non controllato |
Algebraic curve
Analytic continuation Analytic function Asymptotic analysis Banach space Big O notation Boundary value problem Calculation Canonical transformation Cartesian coordinate system Change of variables Characteristic exponent Coefficient Computation Conic section Continuous function Convex set Counterexample Curvature Curve Degrees of freedom (statistics) Derivative Diagram (category theory) Differentiable function Differential equation Dimension Dimensional analysis Division by zero Eigenvalues and eigenvectors Elementary proof Equation Essential singularity Existence theorem Existential quantification Exterior (topology) Fixed-point theorem Forcing (mathematics) Forcing (recursion theory) Function space Functional equation Hamiltonian system Hyperplane Inflection point Initial condition Initial value problem Integral equation Inverse function Iteration Lagrangian mechanics Lefschetz fixed-point theorem Limit cycle Limit of a sequence Limit point Limit set Line segment Linearity Line–line intersection Lipschitz continuity Lyapunov stability Mathematical optimization Mathematics Monotonic function Newton polygon Nonlinear system Orbital stability Ordinary differential equation Ordinate Parameter Parametrization Parity (mathematics) Partial derivative Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Power series Principal part Proportionality (mathematics) Quadratic Real variable Scalar (physics) Scientific notation Sign (mathematics) Significant figures Solomon Lefschetz Special case Sturm–Liouville theory Subset Surface of revolution Theorem Theory Three-dimensional space (mathematics) Transversal (geometry) Unification (computer science) Upper half-plane Variable (mathematics) Variational method (quantum mechanics) Vector field Vector notation Zero of a function |
| ISBN | 1-4008-8175-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) / Kakutani, S. / Markus, L. -- II. On the Critical Points of a Class of Differential Equations / Lefschetz, Solomon -- III. Optimal Discontinuous Forcing Terms / Bushaw, D. -- IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications / DeVogelaere, René -- V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit / Slotnick, D. L. -- VI. Small Periodic Perturbations of an Autonomous System of Vector Equations / Kyner, Walter T. -- VII. Rotated Vector Fields and an Equation for Relaxation Oscillations / Seifert, George -- VIII. A Survey of Lyapunov's Second Method / Antosiewicz, H. A. -- IX. On Phase Portraits of Critical Points in n-Space / Mendelson, Pinchas -- X. On Non-Linear Repulsive Forces / Bass, Robert W. -- Backmatter |
| Record Nr. | UNINA-9910154752703321 |
| 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
| 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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Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
| Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl |
| Autore | Weyl Hermann |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (285 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functions |
| Soggetto non controllato |
Algebraic curve
Algebraic equation Algebraic function Algebraic surface Analytic continuation Analytic function Arc (geometry) Argument principle Basis (linear algebra) Bernhard Riemann Betti number Big O notation Boundary value problem C-function C0 Characteristic function (probability theory) Circumference Coefficient Combination Compact Riemann surface Compact space Complex analysis Complex number Computation Concentric Conformal map Continuous function Coordinate system Degeneracy (mathematics) Derivative Diameter Differential form Dimension Disk (mathematics) Dual curve Entire function Equation Equidistant Euler characteristic Existential quantification Exponential function Exterior (topology) Floor and ceiling functions Fundamental theorem Gauge factor General position Geometry Harmonic function Heine–Borel theorem Hermann Weyl Homogeneous coordinates Improper integral Integer Interior (topology) Inverse function Limit superior and limit inferior Line integral Linear differential equation Linear map Local parameter Logarithm Logarithmic derivative Mathematics Maximum principle Meromorphic function Modular form Modular group Moduli (physics) Monodromy theorem Multiple integral Natural number Notation Order by Parallelepiped Parameter Polyad Polynomial Power series Prime number Probability Projection (mathematics) Quantity Rational function Real variable Rectangle Residue theorem Riemann integral Riemann surface Rotational symmetry Second derivative Simply connected space Subset Summation Theorem Theory Topological space Total order Unit circle Unit vector Variable (mathematics) |
| ISBN | 1-4008-8228-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION. EARLY HISTORY AND BIBLIOGRAPHY -- CHAPTER I. GEOMETRIC AND FUNCTION-THEORETIC FOUNDATIONS -- CHAPTER II. FIRST MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER III. THE SECOND MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER IV. FIRST AND SECOND MAIN THEOREMS FOR ANALYTIC CURVES -- CHAPTER V. THE DEFECT RELATIONS -- Backmatter |
| Record Nr. | UNINA-9910154746403321 |
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Weyl Hermann
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
| Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 516.9 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Hyperbolic spaces
Singularities (Mathematics) Transformations (Mathematics) Geometry, Plane |
| Soggetto non controllato |
Abelian group
Automorphism Big O notation Bijection Binary number Bisection Borel set C0 Calculation Cantor set Cartesian coordinate system Combination Compass-and-straightedge construction Congruence subgroup Conjecture Conjugacy class Continuity equation Convex lattice polytope Convex polytope Coprime integers Counterexample Cyclic group Diameter Diophantine approximation Diophantine equation Disjoint sets Disjoint union Division by zero Embedding Equation Equivalence class Ergodic theory Ergodicity Factorial Fiber bundle Fibonacci number Fundamental domain Gauss map Geometry Half-integer Homeomorphism Hyperbolic geometry Hyperplane Ideal triangle Intersection (set theory) Interval exchange transformation Inverse function Inverse limit Isometry group Lattice (group) Limit set Line segment Linear algebra Linear function Line–line intersection Main diagonal Modular group Monotonic function Multiple (mathematics) Orthant Outer billiard Parallelogram Parameter Partial derivative Penrose tiling Permutation Piecewise Polygon Polyhedron Polytope Product topology Projective geometry Rectangle Renormalization Rhombus Right angle Rotational symmetry Sanity check Scientific notation Semicircle Sign (mathematics) Special case Square root of 2. Subsequence Summation Symbolic dynamics Symmetry group Tangent Tetrahedron Theorem Toy model Translational symmetry Trapezoid Triangle group Triangle inequality Two-dimensional space Upper and lower bounds Upper half-plane Without loss of generality Yair Minsky |
| ISBN |
1-282-45858-2
9786612458583 1-4008-3197-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part 1. The Erratic Orbits Theorem -- Chapter 2. The Arithmetic Graph -- Chapter 3. The Hexagrid Theorem -- Chapter 4. Period Copying -- Chapter 5. Proof of the Erratic Orbits Theorem -- Part 2. The Master Picture Theorem -- Chapter 6. The Master Picture Theorem -- Chapter 7. The Pinwheel Lemma -- Chapter 8. The Torus Lemma -- Chapter 9. The Strip Functions -- Chapter 10. Proof of the Master Picture Theorem -- Part 3. Arithmetic Graph Structure Theorems -- Chapter 11. Proof of the Embedding Theorem -- Chapter 12. Extension and Symmetry -- Chapter 13. Proof of Hexagrid Theorem I -- Chapter 14. The Barrier Theorem -- Chapter 15. Proof of Hexagrid Theorem II -- Chapter 16. Proof of the Intersection Lemma -- Part 4. Period-Copying Theorems -- Chapter 17. Diophantine Approximation -- Chapter 18. The Diophantine Lemma -- Chapter 19. The Decomposition Theorem -- Chapter 20. Existence of Strong Sequences -- Part 5. The Comet Theorem -- Chapter 21. Structure of the Inferior and Superior Sequences -- Chapter 22. The Fundamental Orbit -- Chapter 23. The Comet Theorem -- Chapter 24. Dynamical Consequences -- Chapter 25. Geometric Consequences -- Part 6. More Structure Theorems -- Chapter 26. Proof of the Copy Theorem -- Chapter 27. Pivot Arcs in the Even Case -- Chapter 28. Proof of the Pivot Theorem -- Chapter 29. Proof of the Period Theorem -- Chapter 30. Hovering Components -- Chapter 31. Proof of the Low Vertex Theorem -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910781200003321 |
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Schwartz Richard Evan
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| Princeton, NJ, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The real Fatou conjecture / / by Jacek Graczyk and Grzegorz Swiatek
| The real Fatou conjecture / / by Jacek Graczyk and Grzegorz Swiatek |
| Autore | Graczyk Jacek |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1998 |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina | 516.3/62 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geodesics (Mathematics)
Polynomials Mappings (Mathematics) |
| Soggetto non controllato |
Absolute value
Affine transformation Algebraic function Analytic continuation Analytic function Arithmetic Automorphism Big O notation Bounded set (topological vector space) C0 Calculation Canonical map Change of variables Chebyshev polynomials Combinatorics Commutative property Complex number Complex plane Complex quadratic polynomial Conformal map Conjecture Conjugacy class Conjugate points Connected component (graph theory) Connected space Continuous function Corollary Covering space Critical point (mathematics) Dense set Derivative Diffeomorphism Dimension Disjoint sets Disjoint union Disk (mathematics) Equicontinuity Estimation Existential quantification Fibonacci Functional equation Fundamental domain Generalization Great-circle distance Hausdorff distance Holomorphic function Homeomorphism Homotopy Hyperbolic function Imaginary number Implicit function theorem Injective function Integer Intermediate value theorem Interval (mathematics) Inverse function Irreducible polynomial Iteration Jordan curve theorem Julia set Limit of a sequence Linear map Local diffeomorphism Mathematical induction Mathematical proof Maxima and minima Meromorphic function Moduli (physics) Monomial Monotonic function Natural number Neighbourhood (mathematics) Open set Parameter Periodic function Periodic point Phase space Point at infinity Polynomial Projection (mathematics) Quadratic function Quadratic Quasiconformal mapping Renormalization Riemann sphere Riemann surface Schwarzian derivative Scientific notation Subsequence Theorem Theory Topological conjugacy Topological entropy Topology Union (set theory) Unit circle Unit disk Upper and lower bounds Upper half-plane Z0 |
| ISBN |
0-691-00257-6
1-4008-6518-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Chapter 1. Review of Concepts -- Chapter 2. Quasiconformal Gluing -- Chapter 3. Polynomial-Like Property -- Chapter 4. Linear Growth of Moduli -- Chapter 5. Quasi conformal Techniques -- Bibliography -- Index |
| Record Nr. | UNINA-9910786510203321 |
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Graczyk Jacek
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| Princeton, New Jersey : , : Princeton University Press, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The real Fatou conjecture / / by Jacek Graczyk and Grzegorz Swiatek
| The real Fatou conjecture / / by Jacek Graczyk and Grzegorz Swiatek |
| Autore | Graczyk Jacek |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1998 |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina | 516.3/62 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geodesics (Mathematics)
Polynomials Mappings (Mathematics) |
| Soggetto non controllato |
Absolute value
Affine transformation Algebraic function Analytic continuation Analytic function Arithmetic Automorphism Big O notation Bounded set (topological vector space) C0 Calculation Canonical map Change of variables Chebyshev polynomials Combinatorics Commutative property Complex number Complex plane Complex quadratic polynomial Conformal map Conjecture Conjugacy class Conjugate points Connected component (graph theory) Connected space Continuous function Corollary Covering space Critical point (mathematics) Dense set Derivative Diffeomorphism Dimension Disjoint sets Disjoint union Disk (mathematics) Equicontinuity Estimation Existential quantification Fibonacci Functional equation Fundamental domain Generalization Great-circle distance Hausdorff distance Holomorphic function Homeomorphism Homotopy Hyperbolic function Imaginary number Implicit function theorem Injective function Integer Intermediate value theorem Interval (mathematics) Inverse function Irreducible polynomial Iteration Jordan curve theorem Julia set Limit of a sequence Linear map Local diffeomorphism Mathematical induction Mathematical proof Maxima and minima Meromorphic function Moduli (physics) Monomial Monotonic function Natural number Neighbourhood (mathematics) Open set Parameter Periodic function Periodic point Phase space Point at infinity Polynomial Projection (mathematics) Quadratic function Quadratic Quasiconformal mapping Renormalization Riemann sphere Riemann surface Schwarzian derivative Scientific notation Subsequence Theorem Theory Topological conjugacy Topological entropy Topology Union (set theory) Unit circle Unit disk Upper and lower bounds Upper half-plane Z0 |
| ISBN |
0-691-00257-6
1-4008-6518-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Chapter 1. Review of Concepts -- Chapter 2. Quasiconformal Gluing -- Chapter 3. Polynomial-Like Property -- Chapter 4. Linear Growth of Moduli -- Chapter 5. Quasi conformal Techniques -- Bibliography -- Index |
| Record Nr. | UNINA-9910816804503321 |
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Graczyk Jacek
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| Princeton, New Jersey : , : Princeton University Press, , 1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser
| Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser |
| Autore | Moser Jurgen |
| Edizione | [With a New foreword by Philip J. Holmes] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (212 pages) : illustrations |
| Disciplina | 521/.1 |
| Collana | Princeton Landmarks in Mathematics and Physics |
| Soggetto topico | Celestial mechanics |
| Soggetto non controllato |
Accuracy and precision
Action-angle coordinates Analytic function Bounded variation Calculation Chaos theory Coefficient Commutator Constant term Continuous embedding Continuous function Coordinate system Countable set Degrees of freedom (statistics) Degrees of freedom Derivative Determinant Differentiable function Differential equation Dimension (vector space) Discrete group Divergent series Divisor Duffing equation Eigenfunction Eigenvalues and eigenvectors Elliptic orbit Energy level Equation Ergodic theory Ergodicity Euclidean space Even and odd functions Existence theorem Existential quantification First-order partial differential equation Forcing function (differential equations) Fréchet derivative Gravitational constant Hamiltonian mechanics Hamiltonian system Hessian matrix Heteroclinic orbit Homoclinic orbit Hyperbolic partial differential equation Hyperbolic set Initial value problem Integer Integrable system Integration by parts Invariant manifold Inverse function Invertible matrix Iteration Jordan curve theorem Klein bottle Lie algebra Linear map Linear subspace Linearization Maxima and minima Monotonic function Newton's method Nonlinear system Normal bundle Normal mode Open set Parameter Partial differential equation Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Poincaré conjecture Polynomial Probability theory Proportionality (mathematics) Quasiperiodic motion Rate of convergence Rational dependence Regular element Root of unity Series expansion Sign (mathematics) Smoothness Special case Stability theory Statistical mechanics Structural stability Symbolic dynamics Symmetric matrix Tangent space Theorem Three-body problem Uniqueness theorem Unitary matrix Variable (mathematics) Variational principle Vector field Zero of a function |
| ISBN | 1-4008-8269-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLES |
| Record Nr. | UNINA-9910164944903321 |
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Moser Jurgen
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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