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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
Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (128 pages) : illustrations
Disciplina 531.3
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Addition
Analytic function
Approximation
Arc length
Asymptotic expansion
Big O notation
Bijection
Calculation
Canonical form
Cartesian coordinate system
Characteristic equation
Characteristic exponent
Circumference
Clockwise
Coefficient matrix
Coefficient
Concentric
Continuous function
Contradiction
Coordinate system
Determinant
Differential equation
Divisor
Dynamical system
Equation
Existential quantification
Exterior (topology)
First variation
Geometry
Homotopy
Initial condition
Integer
Intersection (set theory)
Interval (mathematics)
Isolated point
Iteration
Limit cycle
Limit set
Linear differential equation
Linear equation
Main diagonal
Mathematician
Matrix (mathematics)
Matrix coefficient
Monotonic function
Natural number
Nonlinear system
Parameter
Partial derivative
Periodic function
Phase plane
Phase portrait
Polar coordinate system
Polynomial
Projective plane
Quadratic transformation
Requirement
Saddle point
Separatrix (mathematics)
Sequence
Special case
Square matrix
Statistical hypothesis testing
Structural stability
Subset
Suggestion
Theorem
Theory
Three-dimensional space (mathematics)
Time derivative
Topology
Trigonometric polynomial
Uniqueness theorem
Unit vector
Variable (mathematics)
Vector field
Velocity
Without loss of generality
ISBN 1-4008-8270-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. Van der Pol's Equation for Relaxation Oscillations / Cartwright, M. L. -- II. Perturbations of Linear Systems with Constant Coefficients Possessing Periodic Solutions / Coddington, E. A. / Levinson, N. -- III. Dynamical Systems with Stable Structures / DeBaggis, H. F. -- IV. Notes on Differential Equations / Lefsehetz, Solomon -- V. A method for the Calculation of Limit Cycles by Successive Approximation / McCarthy, John -- VI. Asymptotic Expansions of Solutions of Systems of Ordinary Linear Differential Equations Containing a Parameter / Turrittin, H. L.
Record Nr. UNINA-9910154745103321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui