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scientific article; zbMATH DE number 6482809
- Mutual Dimension and Random Sequences
| Language | Label | Description | Also known as |
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| English | Mutual dimension and random sequences |
scientific article; zbMATH DE number 6482809 |
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Mutual dimension and random sequences (English)
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Mutual Dimension and Random Sequences (English)
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7 June 2018
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16 September 2015
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The mutual dimensions \(\operatorname{mdim}(x : y)\) and \(\operatorname{Mdim}(x : y)\) have been introduced to quantify the density of algorithmic information shared by two infinite sequences \(x\) and \(y\). The current paper presents an attempt to investigate the relationships between mutual dimension and coupled randomness, which is the algorithmic randomness of two sequences with respect to probability measures that may be dependent on one another.
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algorithmic information theory
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coupled randomness
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effective fractal dimensions
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Kolmogorov complexity
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mutual information
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0.89787173
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0.88030285
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0.8757193
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0.8740229
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