Shen, Weixiao Decay of geometry for unimodal maps: an elementary proof. (English) Zbl 1097.37032 Ann. Math. (2) 163, No. 2, 383-404 (2006). Summary: We prove that a nonrenormalizable smooth unimodal interval map with critical order between 1 and 2 displays decay of geometry, by an elementary and purely “real” argument. This completes a “real” approach to Milnor’s attractor problem for smooth unimodal maps with critical order not greater than 2. Cited in 9 Documents MSC: 37E05 Dynamical systems involving maps of the interval Keywords:nonrenormalizable map; quadratic critical points; unimodal interval map; Milnor’s attractor problem × Cite Format Result Cite Review PDF Full Text: DOI