Zweimüller, Roland \(S\)-unimodal Misiurewicz maps with flat critical points. (English) Zbl 1065.28009 Fundam. Math. 181, No. 1, 1-25 (2004). Ergodic properties of \(S\)-unimodal Misiurewicz maps [M. Misiurewicz, Publ. Math., Inst. Hautes Étud. Sci. 53, 17-51 (1981; Zbl 0477.58020)] with flat critical point are studied as nonsingular transformations with respect to Lebesgue measure on the interval and as generalizations of one-dimensional maps with indifferent periodic points. This builds on work of M. Benedicks and M. Misiurewicz [Publ. Math., Inst. Hautes Étud. Sci. 69, 203-213 (1989; Zbl 0703.58030)] and H. Thunberg [Ergodic Theory Dyn. Syst. 19, No.3, 767-807 (1999; Zbl 0966.37011)]. Reviewer: Thomas Ward (Norwich) Cited in 11 Documents MSC: 28D05 Measure-preserving transformations 37A25 Ergodicity, mixing, rates of mixing 60F05 Central limit and other weak theorems 37E05 Dynamical systems involving maps of the interval 37A40 Nonsingular (and infinite-measure preserving) transformations Keywords:neutral orbit; slow mixing; central limit theorem; stable limit law Citations:Zbl 0477.58020; Zbl 0703.58030; Zbl 0966.37011 PDFBibTeX XMLCite \textit{R. Zweimüller}, Fundam. Math. 181, No. 1, 1--25 (2004; Zbl 1065.28009) Full Text: DOI Link