Problem 131$h(f) $ given by periodic points for generic $C^1$ map from $I$ to $I$? (or generic continuous map?)EntropyZetaSmoothDynCommentscrovisier (2017-06-27 12:42:30 -0700 -0700):For C1 maps, Yes: indeed hyperbolic maps are C1 dense: M. Jakobson, Smooth mappings of the circle into itself. Mat. Sb. (N.S.) 85 (1971), 163–188.
Comments
For C1 maps, Yes: indeed hyperbolic maps are C1 dense: M. Jakobson, Smooth mappings of the circle into itself. Mat. Sb. (N.S.) 85 (1971), 163–188.