Timeline for Is a set over which dynamics are topologically conjugate to a shift map on two symbols always repelling?
Current License: CC BY-SA 4.0
4 events
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| Jan 14, 2021 at 7:08 | comment | added | Ville Salo | You give the definition of attracting for a function, but the inverse of a function may not be a function, so the definition of repelling is still not completely clear. In any case my example clearly solves your question for any variant. | |
| Jan 13, 2021 at 20:56 | comment | added | aghostinthefigures | A repelling subset of $f$ is a set that is attracting for the “temporally backwards” dynamics of $f$, and a subset of $X$ is attracting under $f$ if every point of that subset possesses an open neighborhood such that every point within that open neighborhood approaches the subset asymptotically as time goes to infinity. | |
| Jan 13, 2021 at 20:37 | comment | added | Ville Salo | What does repelling mean? Is it repelling in $X=\{0,1,2\}^{\mathbb{N}}$? | |
| Nov 20, 2020 at 22:28 | history | asked | aghostinthefigures | CC BY-SA 4.0 |