Julia set of the function $z\exp(z+\mu)$, II

The Julia Set of Feigenbaum Quadratic Polynomial

In this paper, we give a proof of Sullivan’s complex bounds for the Feigenbaum quadratic polynomial and show that the Julia set of the Feigenbaum quadratic polynomial is connected and locally connected.

5 The Julia set of Henon maps

In this paper we investigate the support of the unique measure of maximal entropy of complex Hénon maps, J∗. The main question is whether this set is the same as the analogue of the Julia set J .

The Julia Set of Hénon Maps

In this paper we investigate the support of the unique measure of maximal entropy of complex Hénon maps, J∗. The main question is whether this set is the same as the analogue of the Julia set J .

Laplacians on the Basilica Julia Set

We consider the basilica Julia set of the polynomial P (z) = z − 1 and construct all possible resistance (Dirichlet) forms, and the corresponding Laplacians, for which the topology in the effective resistance metric coincides with the usual topology. Then we concentrate on two particular cases. One is a self-similar harmonic structure, for which the energy renormalization factor is 2, the expon...

Growth of the Zeta Function for a Quadratic Map and the Dimension of the Julia Set