%0 Journal Article
%T Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps
%A Viviane Baladi
%A Daniel Smania
%J Mathematics
%D 2008
%I arXiv
%X We show that if f_t is a holomorphic family of quadratic-like maps with all periodic orbits repelling so that for each real t the map f_t is a real Collet-Eckmann S-unimodal map then, writing m_t for the unique absolutely continuous invariant probability measure of f_t, the map t -> \int g dm_t is real analytic for any real analytic function g.
%U http://arxiv.org/abs/0801.3356v1