A partial description of parameter space of rational maps of degree two: Part I

1992/01/01 by Mary Rees · 8 citations
Mathematics · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.1007/bf02392976

Abstract

coverings withf0=f, fl =g, and X(ft) varies isotopically.

Cited by

• Computer Generated Images for Quadratic Rational Maps with a Periodic Critical Point
• Mating Siegel Quadratic Polynomials
• Irreducibility of the set of cubic polynomials with one periodic\n critical point
• Sierpiński curve Julia sets for quadratic rational maps
• Remarks on iterated cubic maps
• Expanding Thurston maps as quotients
• Renormalization and wandering continua of rational maps
• Renormalizations and wandering Jordan curves of rational maps
• One hundred years of complex dynamics. [europepmc]

Related

• A partial description of the parameter space of rational maps of degree two: Part 2
• On Rational Maps with Two Critical Points
• Potential good reduction of degree 2 rational maps
• Moduli spaces for families of rational maps on P¹
• The Moduli Space of Totally Marked Degree Two Rational Maps