%0 Journal Article
%T Summability implies Collet-Eckmann almost surely
%A Bing Gao
%A Weixiao Shen
%J Mathematics
%D 2011
%I arXiv
%R 10.1017/etds.2012.173
%X We provide a strengthened version of the famous Jakobson's theorem. Consider an interval map $f$ satisfying a summability condition. For a generic one-parameter family $f_t$ of maps with $f_0=f$, we prove that $t=0$ is a Lebesgue density point of the set of parameters for which $f_t$ satisfies both the Collect-Eckmann condition and a strong polynomial recurrence condition.
%U http://arxiv.org/abs/1111.3720v3