Endomorphisms of the shift dynamical system, discrete derivatives, and applications (Q1044997)
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scientific article; zbMATH DE number 5648060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Endomorphisms of the shift dynamical system, discrete derivatives, and applications |
scientific article; zbMATH DE number 5648060 |
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Endomorphisms of the shift dynamical system, discrete derivatives, and applications (English)
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15 December 2009
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Viewing the \(2\)-adic numbers as formal bi-infinite series of \(0\)'s and \(1\)'s one obtains a continuous shift dynamical system \(S: \mathbb Z_2\to \mathbb Z_2\). The author gives a classification of all endomorphisms of \(S\) and discusses related dynamical systems.
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shift dynamical system
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endomorphisms
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\(3x+1\) conjecture
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