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- W4302314786 abstract "In the inverse limit ${hat{I}}_s$ of a tent map $f_s$ restricted to its core, the set $mathcal{GR}$ of points whose path components are bi-infinite and bi-dense has full measure with respect to the measure induced on $hat{I}_s$ by the unique absolutely continuous invariant measure of $f_s$. With respect to topology, there is a dichotomy. When the parameter $s$ is such that the critical orbit of $f_s$ is not dense, $mathcal{GR}$ contains a dense $G_delta$ set. In contrast, when the critical orbit of $f_s$ is dense, the complement of $mathcal{GR}$ contains a dense $G_delta$ set." @default.
- W4302314786 created "2022-10-06" @default.
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- W4302314786 date "2017-12-03" @default.
- W4302314786 modified "2023-09-27" @default.
- W4302314786 title "Typical path components in tent map inverse limits" @default.
- W4302314786 doi "https://doi.org/10.48550/arxiv.1712.00739" @default.
- W4302314786 hasPublicationYear "2017" @default.
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