Complex Dynamics and Renormalization (AM-135), Volume 135 /

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely reno...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: McMullen, Curtis T. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 135
Temas:
Dynamics.
Mathematical physics.
Polynomials.
Renormalization (Physics).
MATHEMATICS / Geometry / Non-Euclidean.
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.
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