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Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen
Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen
Autore McMullen Curtis T.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (229 pages) : illustrations
Disciplina 530.1/43/0151
Collana Annals of Mathematics Studies
Soggetto topico Renormalization (Physics)
Polynomials
Dynamics
Mathematical physics
Soggetto non controllato Analytic function
Attractor
Automorphism
Bernhard Riemann
Bounded set
Branched covering
Cantor set
Cardioid
Chain rule
Coefficient
Combinatorics
Complex manifold
Complex plane
Complex torus
Conformal geometry
Conformal map
Conjecture
Connected space
Covering space
Cyclic group
Degeneracy (mathematics)
Dense set
Diagram (category theory)
Diameter
Differential geometry of surfaces
Dihedral group
Dimension (vector space)
Dimension
Disjoint sets
Disk (mathematics)
Dynamical system
Endomorphism
Equivalence class
Equivalence relation
Ergodic theory
Euler characteristic
Filled Julia set
Geometric function theory
Geometry
Hausdorff dimension
Holomorphic function
Homeomorphism
Homology (mathematics)
Hyperbolic geometry
Implicit function theorem
Injective function
Integer matrix
Interval (mathematics)
Inverse limit
Julia set
Kleinian group
Limit point
Limit set
Linear map
Mandelbrot set
Manifold
Markov partition
Mathematical induction
Maxima and minima
Measure (mathematics)
Moduli (physics)
Monic polynomial
Montel's theorem
Möbius transformation
Natural number
Open set
Orbifold
Periodic point
Permutation
Point at infinity
Pole (complex analysis)
Polynomial
Proper map
Quadratic differential
Quadratic function
Quadratic
Quasi-isometry
Quasiconformal mapping
Quotient space (topology)
Removable singularity
Renormalization
Riemann mapping theorem
Riemann sphere
Riemann surface
Rigidity theory (physics)
Scalar (physics)
Schwarz lemma
Scientific notation
Special case
Structural stability
Subgroup
Subsequence
Symbolic dynamics
Tangent space
Theorem
Uniformization theorem
Uniformization
Union (set theory)
Unit disk
Upper and lower bounds
ISBN 1-4008-8255-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Background in conformal geometry -- Chapter 3. Dynamics of rational maps -- Chapter 4. Holomorphic motions and the Mandelbrot set -- Chapter 5. Compactness in holomorphic dynamics -- Chapter 6. Polynomials and external rays -- Chapter 7. Renormalization -- Chapter 8. Puzzles and infinite renormalization -- Chapter 9. Robustness -- Chapter 10. Limits of renormalization -- Chapter 11. Real quadratic polynomials -- Appendix A. Orbifolds -- Appendix B. A closing lemma for rational maps -- Bibliography -- Index
Record Nr. UNINA-9910154745403321
McMullen Curtis T.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
Autore Cordaro Paulo
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (398 pages)
Disciplina 515/.782
Collana Annals of Mathematics Studies
Soggetto topico Hyperfunctions
Submanifolds
Soggetto non controllato Alexander Grothendieck
Analytic function
Analytic manifold
Borel transform
Boundary value problem
Bounded function
Bounded set (topological vector space)
Bounded set
C0
CR manifold
Cauchy problem
Codimension
Coefficient
Cohomology
Compact space
Complex manifold
Complex number
Complex space
Connected space
Continuous function (set theory)
Continuous function
Convex set
Convolution
Cotangent bundle
Counterexample
De Rham cohomology
Dense set
Differential operator
Disjoint union
Domain of a function
Eigenvalues and eigenvectors
Embedding
Entire function
Equation
Equivalence class
Equivalence relation
Euclidean space
Existential quantification
Exterior algebra
Exterior derivative
Fiber bundle
Fourier transform
Function space
Functional analysis
Fundamental solution
Harmonic function
Holomorphic function
Homomorphism
Hyperfunction
Hypersurface
Infimum and supremum
Integration by parts
Laplace's equation
Limit of a sequence
Linear map
Linear space (geometry)
Linear subspace
Locally convex topological vector space
Mathematical induction
Montel space
Montel's theorem
Morphism
Neighbourhood (mathematics)
Norm (mathematics)
Open set
Partial derivative
Partial differential equation
Polytope
Presheaf (category theory)
Pullback (category theory)
Pullback
Quotient space (topology)
Radon measure
Real structure
Riemann sphere
Serre duality
Several complex variables
Sheaf (mathematics)
Sheaf cohomology
Singular integral
Sobolev space
Special case
Submanifold
Subsequence
Subset
Summation
Tangent bundle
Theorem
Topology of uniform convergence
Topology
Transitive relation
Transpose
Transversal (geometry)
Uniform convergence
Uniqueness theorem
Vanish at infinity
Variable (mathematics)
Vector bundle
Vector field
Wave front set
ISBN 1-4008-8256-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS
Record Nr. UNINA-9910154744403321
Cordaro Paulo  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
Autore Weiss Richard M (Richard Mark), <1946->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2009
Descrizione fisica 1 online resource (381 p.)
Disciplina 512/.2
Collana Annals of mathematics studies
Soggetto topico Buildings (Group theory)
Moufang loops
Automorphisms
Affine algebraic groups
Soggetto non controllato Addition
Additive group
Additive inverse
Algebraic group
Algebraic structure
Ambient space
Associative property
Automorphism
Big O notation
Bijection
Bilinear form
Bounded set (topological vector space)
Bounded set
Calculation
Cardinality
Cauchy sequence
Commutative property
Complete graph
Complete metric space
Composition algebra
Connected component (graph theory)
Consistency
Continuous function
Coordinate system
Corollary
Coxeter group
Coxeter–Dynkin diagram
Diagram (category theory)
Diameter
Dimension
Discrete valuation
Division algebra
Dot product
Dynkin diagram
E6 (mathematics)
E7 (mathematics)
E8 (mathematics)
Empty set
Equipollence (geometry)
Equivalence class
Equivalence relation
Euclidean geometry
Euclidean space
Existential quantification
Free monoid
Fundamental domain
Hyperplane
Infimum and supremum
Jacques Tits
K0
Linear combination
Mathematical induction
Metric space
Multiple edges
Multiplicative inverse
Number theory
Octonion
Parameter
Permutation group
Permutation
Pointwise
Polygon
Projective line
Quadratic form
Quaternion
Remainder
Root datum
Root system
Scientific notation
Sphere
Subgroup
Subring
Subset
Substructure
Theorem
Topology of uniform convergence
Topology
Torus
Tree (data structure)
Tree structure
Two-dimensional space
Uniform continuity
Valuation (algebra)
Vector space
Without loss of generality
ISBN 1-282-45836-1
9786612458361
1-4008-2905-4
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index
Record Nr. UNINA-9910780926103321
Weiss Richard M (Richard Mark), <1946->  
Princeton, N.J., : Princeton University Press, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
Autore Weiss Richard M (Richard Mark), <1946->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2009
Descrizione fisica 1 online resource (381 p.)
Disciplina 512/.2
Collana Annals of mathematics studies
Soggetto topico Buildings (Group theory)
Moufang loops
Automorphisms
Affine algebraic groups
Soggetto non controllato Addition
Additive group
Additive inverse
Algebraic group
Algebraic structure
Ambient space
Associative property
Automorphism
Big O notation
Bijection
Bilinear form
Bounded set (topological vector space)
Bounded set
Calculation
Cardinality
Cauchy sequence
Commutative property
Complete graph
Complete metric space
Composition algebra
Connected component (graph theory)
Consistency
Continuous function
Coordinate system
Corollary
Coxeter group
Coxeter–Dynkin diagram
Diagram (category theory)
Diameter
Dimension
Discrete valuation
Division algebra
Dot product
Dynkin diagram
E6 (mathematics)
E7 (mathematics)
E8 (mathematics)
Empty set
Equipollence (geometry)
Equivalence class
Equivalence relation
Euclidean geometry
Euclidean space
Existential quantification
Free monoid
Fundamental domain
Hyperplane
Infimum and supremum
Jacques Tits
K0
Linear combination
Mathematical induction
Metric space
Multiple edges
Multiplicative inverse
Number theory
Octonion
Parameter
Permutation group
Permutation
Pointwise
Polygon
Projective line
Quadratic form
Quaternion
Remainder
Root datum
Root system
Scientific notation
Sphere
Subgroup
Subring
Subset
Substructure
Theorem
Topology of uniform convergence
Topology
Torus
Tree (data structure)
Tree structure
Two-dimensional space
Uniform continuity
Valuation (algebra)
Vector space
Without loss of generality
ISBN 1-282-45836-1
9786612458361
1-4008-2905-4
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index
Record Nr. UNINA-9910828976703321
Weiss Richard M (Richard Mark), <1946->  
Princeton, N.J., : Princeton University Press, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui