- Full text PDF available (8)
- This year (1)
- Last 5 years (3)
- Last 10 years (7)
Journals and Conferences
The notion of Misiurewicz maps has its origin from the paper  from 1981 by M. Misiurewicz. The (real) maps studied in this paper have, among other things, no sinks and the omega limit set ω(c) of… (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 ). In particular, we show that if f is a… (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 study… (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 annulus… (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 critical… (More)
We show that Misiurewicz maps for which the Julia set is not the whole sphere are Lebesgue density points of hyperbolic maps.
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 ≥ 0. Denote by J(f) the Julia set of f and… (More)
We show that for any rational Misiurewicz map f one can find a hyperbolic rational map arbitrarily close to f .