The notion of Misiurewicz maps has its origin from the paper [10] from 1981 by M. Misiurewicz. The (real) maps studied in this paper have, among other things, no sinks and the omega limit set Ï‰(c) ofâ€¦ (More)

In this paper we investigate the perturbation properties of rational Misiurewicz maps, when the Julia set is the whole sphere (the other case is treated in [1]). In particular, we show that if f is aâ€¦ (More)

We study a recursion that generates real sequences depending on a parameter x . Given a negative x the growth of the sequence is very difficult to estimate due to canceling terms. We reduce the studyâ€¦ (More)

The Yoccoz puzzle is a fundamental tool in Holomorphic Dynamics. The original combinatorial argument by Yoccoz, based on the BrannerHubbard tableau, counts the preimages of a non-degenerate annulusâ€¦ (More)

In this paper we prove existence and uniqueness of matings of a large class of renormalizable cubic polynomials with one fixed critical point and the other cubic polynomial having two fixed criticalâ€¦ (More)

Set P 0(f, c) = P (f, c). The set P (f) = P 0(f) is the postcritical set of f . We will also use the notion postcritical set for P k(f) for some suitable k â‰¥ 0. Denote by J(f) the Julia set of f andâ€¦ (More)