Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / John R. Stallings, S. M. Gersten |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (565 pages) : illustrations |
Disciplina | 512/.22 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Combinatorial group theory
Topology |
Soggetto non controllato |
Abelian group
Algebraic equation Algebraic integer Automorphism Basis (linear algebra) Betti number Cayley graph Cayley–Hamilton theorem Characteristic polynomial Characteristic subgroup Characterization (mathematics) Classifying space Combinatorial group theory Combinatorics Commutative algebra Commutative property Commutator subgroup Compactification (mathematics) Complement (set theory) Conformal map Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coprime integers Coset Coxeter group Cyclic group Cyclic permutation Degeneracy (mathematics) Dehn's lemma Diagram (category theory) Dirac delta function Disk (mathematics) Epimorphism Equation Euclidean group Finite group Finitely generated abelian group Finitely generated group Free abelian group Free group Freiheitssatz Fuchsian group Function (mathematics) Fundamental domain Fundamental group Fundamental lemma (Langlands program) G-module General linear group Generating set of a group Geodesic Graph (discrete mathematics) Graph of groups Graph product Group theory Haken manifold Harmonic analysis Homological algebra Homology (mathematics) Homomorphism Homotopy Hurwitz's theorem (number theory) Hyperbolic 3-manifold Identity theorem Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Intersection number (graph theory) Intersection number Invertible matrix Jacobian matrix and determinant Knot theory Limit point Mapping class group Mapping cone (homological algebra) Mathematical induction Module (mathematics) Parity (mathematics) Poincaré conjecture Prime number Pullback (category theory) Quotient group Representation theory Residually finite group Riemann surface Seifert–van Kampen theorem Separatrix (mathematics) Set theory Simplicial complex Sphere theorem (3-manifolds) Sphere theorem Subgroup Sylow theorems Theorem Topology Union (set theory) Uniqueness theorem Variable (mathematics) Word problem (mathematics) |
ISBN | 1-4008-8208-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY / Lyndon, Roger -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS / Eckmann, Beno -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY / Howie, James -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS / Stallings, John R. -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS / Collins, Donald J . -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS / Gersten, S. M. -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS / Stallings, John R. -- THE TODD-COXETER PROCESS, USING GRAPHS / Stallings, John R. / Wolf, A. Royce -- A SUBGROUP THEOREM FOR PREGROUPS / Rimlinger, Frank -- GROUPS WITH A RATIONAL CROSS-SECTION / Gilman, Robert H. -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS / Benson, Max -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES / Craggs, Robert / Howie, James -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX / Ratcliffe, John G. -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES / Dyer, Micheal -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES / Alperin, Roger / Bass, Hyman -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS / Hempel, John -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS / Bleiler, Steven A. -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II / Nicas, A. J / Stark, C.W. -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP / Gilman, Jane -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS / Neuwirth, L. / Patterson, N. -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES / Birman, Joan S. / Series, Caroline -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I / Cohen, Marshall / Lustig, Martin -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II / Lustig, Martin -- SELECTED PROBLEMS / Gersten, S. M. -- Backmatter |
Record Nr. | UNINA-9910154748903321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (456 pages) : illustrations |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Riemann surfaces
Discontinuous groups |
Soggetto non controllato |
Abelian variety
Adjunction (field theory) Affine space Algebraic curve Algebraic structure Analytic function Arithmetic genus Automorphism Bernhard Riemann Boundary (topology) Cauchy sequence Cauchy–Schwarz inequality Cayley–Hamilton theorem Closed geodesic Combination Commutative diagram Commutator subgroup Compact Riemann surface Complex dimension Complex manifold Complex multiplication Complex space Complex torus Congruence subgroup Conjugacy class Convex set Cyclic group Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differential form Dimension (vector space) Disjoint sets E7 (mathematics) Endomorphism Equation Equivalence class Euclidean space Existence theorem Existential quantification Finite group Finitely generated group Fuchsian group Fundamental domain Fundamental lemma (Langlands program) Fundamental polygon Galois extension Holomorphic function Homeomorphism Homology (mathematics) Homomorphism Hurwitz's theorem (number theory) Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Irreducibility (mathematics) Isomorphism class Isomorphism theorem Jacobian variety Jordan curve theorem Kleinian group Limit point Mapping class group Metric space Monodromy Monomorphism Möbius transformation Non-Euclidean geometry Orthogonal trajectory Permutation Polynomial Power series Projective variety Quadratic differential Quadric Quasi-projective variety Quasiconformal mapping Quotient space (topology) Rectangle Riemann mapping theorem Riemann surface Schwarzian derivative Simply connected space Simultaneous equations Special case Subgroup Subsequence Surjective function Symmetric space Tangent space Teichmüller space Theorem Topological space Topology Uniqueness theorem Unit disk Variable (mathematics) Winding number Word problem (mathematics) |
ISBN | 1-4008-8164-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE / Greenberg, L. -- CONTENTS -- CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS / Abikoff, William -- ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES / Accola, Robert D. M. -- SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION / Ahlfors, Lars V. -- FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS / Beardon, A. F. -- SPACES OF DEGENERATING RIEMANN SURFACES / Bers, Lipman -- MAPPING CLASS GROUPS OF SURFACES: A SURVEY / Birman, Joan S. -- A NOTE ON L2 ( Γ G ) / Chen, Su-shing -- ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMÜLLER SPACES / Chu, T. -- SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS / Cohn, Harvey -- ON THE CARATHÉODORY METRIC IN TEICHMÜLLER SPACES / Earle, Clifford J. -- SOME REFINEMENTS OF THE POINCARÉ PERIOD RELATION / Ehrenpreis, L. / Farkas, H. M. -- REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES / Farkas, Hershel M. -- THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD / Fine, Benjamin -- QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY / Gehring, F. W. / Kelly, J. C. -- ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES / Gilman, Jane -- MAXIMAL GROUPS AND SIGNATURES / Greenberg, Leon -- COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS / Greenberg, Leon -- CHABAUTY SPACES OF DISCRETE GROUPS / Harvey, William -- MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS / Hejhal, Dennis A. -- COLLARS ON RIEMANN SURFACES / Keen, Linda -- DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS / Kiremidjian, Garo K. -- ON THE A (Γ ) ⊂ Bq(Γ ) CONJECTURE FOR INFINITELY GENERATED GROUPS / Lehner, Joseph -- THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES / Macbeath, A. M. -- MODULAR GROUPS AND FIBER SPACES OVER TEICHMÜLLER SPACES / Maclachlan, C. -- UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARÉ METRIC / Marden, Albert -- REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES / Martens, Henrik H. -- INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS / Maskit, Bernard -- POLYNOMIAL APPROXIMATION IN THE BERS SPACES / Metzger, Thomas / Sheingorn, Mark -- SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS / Rauch, Harry E. -- ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS / Reich, Edgar -- SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES / Rüedy, Reto A. -- ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS / Strebel, Kurt -- THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP / Sturm, Jacob / Shinnar, Meir -- Backmatter |
Record Nr. | UNINA-9910154754003321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander |
Autore | Auslander Louis |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (121 pages) |
Disciplina | 516 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Topological dynamics |
Soggetto non controllato |
Additive group
Affine space Automorphism Change of basis Characteristic class Cohomology Combination Compact space Complex number Complexification Constant function Continuous function Corollary Coset Dense set Diagram (category theory) Dimension (vector space) Dimension Diophantine approximation Direct integral Direct sum Eigenfunction Eigenvalues and eigenvectors Empty set Ergodic theory Ergodicity Euclidean space Exact sequence Existential quantification Exponential function Exponential map (Lie theory) Fiber bundle Finite set Fundamental domain Fundamental group General position Geodesic Group representation Haar measure Hausdorff space Hilbert space Homeomorphism Homogeneous coordinates Homogeneous space Homomorphism Horocycle Identity component Imaginary number Induced representation Integer Invariant measure Irreducible component Lebesgue measure Lie algebra Lie group Linear fractional transformation Locally compact group Mathematical induction Measure (mathematics) Morphism Nilpotent Lie algebra Nilpotent group Nilpotent Non-abelian Normal subgroup One-dimensional space One-parameter group Open set Phase space Pointwise Projection (linear algebra) Regular element Remainder Representation theory Riemannian manifold Root system Semidirect product Solvable Lie algebra Solvable group Special case Stone's theorem Subalgebra Subgroup Subset Tangent space Tangent vector Theorem Three-dimensional space (mathematics) Topological group Topology Transformation matrix Transitive relation Two-dimensional space Unit sphere Unit vector Unitary operator Unitary representation Unitary transformation Vector space Without loss of generality |
ISBN | 1-4008-8202-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154748203321 |
Auslander Louis
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning |
Autore | Gunning Robert C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (108 pages) : illustrations |
Disciplina | 512.87 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Forms, Modular
Modular functions |
Soggetto non controllato |
Automorphism
Big O notation Calculation Chain rule Change of variables Coefficient Compact Riemann surface Compact space Compactification (mathematics) Cusp form Differential form Dimension (vector space) Eisenstein series Ellipse Equivalence class Equivalence relation Euler characteristic Fourier series Fundamental domain Geometry Hilbert space Integer Linear combination Linear fractional transformation Linear map Linear subspace Local coordinates Meromorphic function Modular form Modular group Neighbourhood (mathematics) Quadratic form Quotient group Quotient space (topology) Requirement Riemann sphere Riemann surface Scientific notation Strong topology Subgroup Summation Theorem Uniformization theorem Upper half-plane Vector space |
ISBN | 1-4008-8166-8 |
Classificazione | SK 180 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMS |
Record Nr. | UNINA-9910154753603321 |
Gunning Robert C.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Schwartz Richard Evan
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Princeton, NJ, : Princeton University Press, c2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Graczyk Jacek
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Princeton, New Jersey : , : Princeton University Press, , 1998 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Graczyk Jacek
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Princeton, New Jersey : , : Princeton University Press, , 1998 | ||
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Lo trovi qui: Univ. Federico II | ||
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Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
Autore | McMullen Curtis T. |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
Descrizione fisica | 1 online resource (264 p.) |
Disciplina | 514/.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
ISBN |
0-691-01154-0
1-4008-6517-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
Record Nr. | UNINA-9910786510603321 |
McMullen Curtis T.
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Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
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Lo trovi qui: Univ. Federico II | ||
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Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
Autore | McMullen Curtis T. |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
Descrizione fisica | 1 online resource (264 p.) |
Disciplina | 514/.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
ISBN |
0-691-01154-0
1-4008-6517-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
Record Nr. | UNINA-9910816804803321 |
McMullen Curtis T.
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Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
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Lo trovi qui: Univ. Federico II | ||
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Riemann Surfaces Related Topics (AM-97), Volume 97 : Proceedings of the 1978 Stony Brook Conference. (AM-97) / / Bernard Maskit, Irwin Kra |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (533 pages) : illustrations |
Disciplina | 515/.223 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Riemann surfaces |
Soggetto non controllato |
Abstract simplicial complex
Affine transformation Algebraic curve Algebraic element Algebraic equation Algebraic surface Analytic function Analytic torsion Automorphic form Automorphic function Automorphism Banach space Basis (linear algebra) Boundary (topology) Bounded set (topological vector space) Cohomology ring Cohomology Commutative property Commutator subgroup Compact Riemann surface Complex analysis Complex manifold Conformal geometry Conformal map Conjugacy class Covering space Diagram (category theory) Dimension (vector space) Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Equivalence class Equivalence relation Ergodic theory Existential quantification Foliation Fuchsian group Fundamental domain Fundamental group Fundamental polygon Geodesic Geometric function theory Group homomorphism H-cobordism Hausdorff measure Holomorphic function Homeomorphism Homomorphism Homotopy Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Infimum and supremum Injective module Interior (topology) Intersection form (4-manifold) Isometry Isomorphism class Jordan curve theorem Kleinian group Kähler manifold Limit point Limit set Manifold Meromorphic function Metric space Mostow rigidity theorem Möbius transformation Poincaré conjecture Pole (complex analysis) Polynomial Product topology Projective variety Quadratic differential Quasi-isometry Quasiconformal mapping Quotient space (topology) Radon–Nikodym theorem Ricci curvature Riemann mapping theorem Riemann sphere Riemann surface Riemannian geometry Riemannian manifold Schwarzian derivative Strictly convex space Subgroup Submanifold Surjective function Tangent space Teichmüller space Theorem Topological conjugacy Topological space Topology Uniformization theorem Uniformization Uniqueness theorem Unit disk Vector bundle |
ISBN | 1-4008-8155-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- A Geometric Property of Bers' Embedding of The Teichmuller Space / Abikoff, William -- Plane Models for Riemann Surf Aces Admitting Certain Half-Canonical Linear Series, Part I / Accola, Robert D. M. -- Nontriviality of Teichmuller Space for Kleinian Group in Space / Apanasov, B. N. -- The Action of The Modular Group on The Complex Boundary / Bers, Lipman -- Some Remarks on Bounded Cohomology / Brooks, Robert -- The Dynamics of 2-Generator Subgroups of PSL(2, ℂ) / Brooks, Robert / Matelski, J. Peter -- Minimal Geodesics on Fricke's Torus-Covering / Cohn, Harvey -- On Variation of Projective Structures / Earle, Clifford J. -- Vanishing Theta Constants / Farkas, Hershel M. -- Analytic Torsion and Prym Differentials / Fay, John -- On a Notion of Quasiconformal Rigidity for Riemann Surf Aces / Gardiner, Frederick P. -- Spirals and The Universal Teichmuller Space / Gehring, F. W. -- Intersection Matrices for Bases Adapted to Automorphisms of a Compact Riemann Surface / Gilman, Jane / Patterson, David -- Homomorphisms of Triangle Groups Into PSL(2, ℂ) / Greenberg, Leon -- Hyperbolic Manifolds, Groups and Actions / Gromov, M. -- Automorphisms of Compact Riemann Surfaces and Weierstrass Points / Guerrero, Ignacio -- Affine and Projective Structures on Riemann Surf Aces / Gunning, R. C. -- Boundary Structure of The Modular Group / Harvey, W. J. -- A Realization Problem in The Theory of Analytic Curves / Heins, Maurice -- The Monodromy of Projective Structures / Hubbard, John H. -- Holomorphic Families of Riemann Surf Aces and Teichmoller Spaces / Imayoshi, Yoichi -- Commutators in SL(2, ℂ) / Jørgensen, Troels -- Two Examples of Covering Surf Aces / Jørgensen, T. / Marden, A. / Pommerenke, C. -- Deformations of Symmetric Products / Kempf, George R. -- Remarks on Projective Structures / Kra, Irwin / Maskit, Bernard -- Some Remarks on Kleinian Groups / Krushkal, S. L. -- Remarks on Web Groups / Kuroda, Tadashi / Mori, Seiki / Takahashi, Hidenori -- Remarks on Fuchsian Groups Associated with Open Riemann Surfaces / Kusunoki, Yukio / Taniguchi, Masahiko -- On Generalized Weierstrass Points and Rings with No Prime Elements / Laufer, Henry B. -- The Topology of Analytic Surfaces: Decompositions of Elliptic Surfaces / Mandelbaum, Richard -- Dense Geodesics in Moduli Space / Masur, Howard -- Automorphismen Ebener Diskontinuierlicher Gruppen / Rosenberger, Gerhard -- Remarks on The Geometry of The Siegel Modular Group / Sibner, Robert J. -- On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions / Sullivan, Dennis -- On Infinite Nielsen Kernels / Wason, Judith C. -- Hyperbolic 3-Manifolds which share a Fundamental Polyhedron / Wielenberg, Norbert J. -- The Length Spectrum as Moduli for Compact Riemann Surfaces / Wolpert, Scott -- Backmatter |
Record Nr. | UNINA-9910154746303321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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