Abstract

Considering a family of rational maps Tnλ concerning renormalization transformation, we give a perfect description about the dynamical properties of Tnλ and the topological properties of the Fatou components F(Tnλ). Furthermore, we discuss the continuity of the Hausdorff dimension HD(J(Tnλ)) about real parameter λ.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call