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- W2909646502 abstract "We consider $C^{r}(r>1)$ maps on an interval (or a circle). By introducing the notions of folding and degenerate rate, we investigate the mechanisms of upper semi-continuity of metric entropy. To be specific, we prove that on any subset of measures with uniform folding or degenerate rate, the metric entropy is upper semi-continuous. Moreover, the sharpness of the conditions on the uniformity of folding and degenerate rate are also investigated." @default.
- W2909646502 created "2019-01-25" @default.
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- W2909646502 date "2019-01-15" @default.
- W2909646502 modified "2023-09-27" @default.
- W2909646502 title "Metric entropy and degeneracy of smooth interval maps" @default.
- W2909646502 hasPublicationYear "2019" @default.
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