%0 Journal Article %T Perturbations of rational Misiurewicz maps %A Magnus Aspenberg %J Mathematics %D 2008 %I arXiv %X 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 a Misiurewicz map and not a flexible Lattes map, then we can find a hyperbolic map arbitrarily close to f. %U http://arxiv.org/abs/0804.1106v2