Monodromy on the central hyperbolic component of polynomials with just two distinct critical points

DOI10.3836/TJM/1202136694zbMath1145.37027OpenAlexW2036130370MaRDI QIDQ932999

Hikaru Yazawa

Publication date: 21 July 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1202136694

zbMATH Keywords

attracting fixed pointmonodromy mappolynomial mapsBranner-Hubbard deformations

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

• The iteration of cubic polynomials. I: The global topology of parameter space
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Pinching of polynomials.
• On pinching deformations of rational maps
• Landing property of stretching rays for real cubic polynomials
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