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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ANALYTICITY OF THE SRB MEASURE FOR HOLOMORPHIC FAMILIES OF QUADRATIC-LIKE COLLET-ECKMANN MAPS

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Author(s):
Baladi, Viviane [1] ; Smania, Daniel [2]
Total Authors: 2
Affiliation:
[1] Ecole Normale Super, Dept Math & Applicat, UMR 8553, F-75005 Paris - France
[2] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 137, n. 4, p. 1431-1437, 2009.
Web of Science Citations: 7
Abstract

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 ft is a real Collet-Eckmann S-unimodal map, then, writing mu(t) for the unique absolutely continuous invariant probability measure of ft, the map t -> integral Psi d mu(t) is real analytic for any real analytic function Psi. (AU)

FAPESP's process: 03/03107-9 - Qualitative theory of differential equations and singularity theory
Grantee:Carlos Teobaldo Gutierrez Vidalon
Support Opportunities: Research Projects - Thematic Grants