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

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dc.creatorBaladi, Viviane
dc.creatorSmania, Daniel
dc.date2008-01-22
dc.date.accessioned2026-07-07T08:55:49Z
dc.date.available2026-07-07T08:55:49Z
dc.descriptionWe 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0801.3356
dc.identifierhttp://arxiv.org/abs/0801.3356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146399
dc.subjectDynamical Systems
dc.subject37C40 (Primary); 37C30, 37D25, 37E05 (Secondary)
dc.titleAnalyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps
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