Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146399We 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.7 pagesDynamical Systems37C40 (Primary); 37C30, 37D25, 37E05 (Secondary)Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann mapstext