A Cantor dynamical system is slow if and only if all its finite orbits are attracting
In this paper, we completely solve the problem when a Cantor dynamical system $(X,f)$ can be embedded in $\mathbb{R}$ with vanishing derivative everywhere. For this purpose, we construct a refining sequence of marked clopen partitions of $X$ which is adapted to a dynamical system of this kind. It tu...
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| creator | Gangloff, Silvère Oprocha, Piotr |
| description | In this paper, we completely solve the problem when a Cantor dynamical system
$(X,f)$ can be embedded in $\mathbb{R}$ with vanishing derivative everywhere.
For this purpose, we construct a refining sequence of marked clopen partitions
of $X$ which is adapted to a dynamical system of this kind. It turns out that
there is a huge class of such systems. |
| doi_str_mv | 10.48550/arxiv.2105.07995 |
| format | Article |
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$(X,f)$ can be embedded in $\mathbb{R}$ with vanishing derivative everywhere.
For this purpose, we construct a refining sequence of marked clopen partitions
of $X$ which is adapted to a dynamical system of this kind. It turns out that
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$(X,f)$ can be embedded in $\mathbb{R}$ with vanishing derivative everywhere.
For this purpose, we construct a refining sequence of marked clopen partitions
of $X$ which is adapted to a dynamical system of this kind. It turns out that
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$(X,f)$ can be embedded in $\mathbb{R}$ with vanishing derivative everywhere.
For this purpose, we construct a refining sequence of marked clopen partitions
of $X$ which is adapted to a dynamical system of this kind. It turns out that
there is a huge class of such systems.</abstract><doi>10.48550/arxiv.2105.07995</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | A Cantor dynamical system is slow if and only if all its finite orbits are attracting |
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