an:04015764
Zbl 0625.58027
Guckenheimer, John
Limit sets of S-unimodal maps with zero entropy
EN
Commun. Math. Phys. 110, 655-659 (1987).
00153051
1987
j
37G15
period doubling; renormalization theory of Feigenbaum; nonwandering set; Schwarzian negative
One-dimensional mappings ``at the limit of period doubling'' are studied in this paper without the use of the renormalization theory of Feigenbaum and others. The principal result is that the attracting part of the nonwandering set is a Cantor set of measure zero under the additional assumption that the map has negative Schwarzian negative.