The relative growth of information in two-dimensional partitions (Q851074)
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scientific article; zbMATH DE number 5071500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The relative growth of information in two-dimensional partitions |
scientific article; zbMATH DE number 5071500 |
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The relative growth of information in two-dimensional partitions (English)
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13 November 2006
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The paper generalizes the one-dimensional theorem of \textit{G. Lochs} [Abh. Math. Semin. Univ. Hamb. 27, 142--144 (1964; Zbl 0124.28003)] which compares two different number-theoretic expansions of a number to the two-dimensional setting. It is shown that the relative growth of information in the two-dimensional case depends on the entropy of the partitions (defining the expansions) and the geometry of their shapes.
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Lochs' theorem
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Shannon-McMillan-Breiman theorem
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0.86558646
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0.85318893
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0.84729433
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0.84535027
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0.8245285
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0.8239566
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