Cubic polynomial maps with periodic critical orbit, Part II: Escape regions

DOI10.1090/S1088-4173-10-00204-3zbMath1188.37047arXiv0910.1866MaRDI QIDQ3559543

Jan Kiwi, Araceli Bonifant, John W. Milnor

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1866

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials and rational functions of one complex variable (30C10)

Related Items (18)

On the family of cubic parabolic polynomials ⋮ The Geometry of the Critically Periodic Curves in the Space of Cubic Polynomials ⋮ Global dynamics of quadratic second order difference equation in the first quadrant ⋮ Irreducibility of periodic curves in cubic polynomial moduli space ⋮ Intersections between boundaries of bounded hyperbolic components of cubic polynomials ⋮ The classification of polynomial basins of infinity ⋮ Relations between escape regions in the parameter space of cubic polynomials ⋮ Laminational Models for Some Spaces of Polynomials of Any Degree ⋮ Boundedness of hyperbolic components of Newton maps ⋮ Hyperbolic components and cubic polynomials ⋮ Errata for “Cubic polynomial maps with periodic critical orbit, Part II: Escape regions” ⋮ Unnamed Item ⋮ Topological cubic polynomials with one periodic ramification point ⋮ A continuity result on quadratic matings with respect to parameters of odd denominator rationals ⋮ Cubic post-critically finite polynomials defined over ℚ ⋮ The W. Thurston algorithm applied to real polynomial maps ⋮ Rescaling limits of complex rational maps ⋮ DEGENERATIONS OF COMPLEX DYNAMICAL SYSTEMS

Cites Work

• Combinatorics and topology of straightening maps. I: Compactness and bijectivity
• Puiseux series polynomial dynamics and iteration of complex cubic polynomials
• The iteration of cubic polynomials. II: Patterns and parapatterns
• On entropy and monotonicity for real cubic maps (with an appendix by Adrien Douady and Pierrette Sentenac)
• Errata for “Cubic polynomial maps with periodic critical orbit, Part II: Escape regions”
• Enumerating the basins of infinity of cubic polynomials
• Turning curves for critically recurrent cubic polynomials
• Numerical parameterization of affine varieties using
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