Sets of ``non-typical'' points have full topological entropy and full Hausdorff dimension (Q1976606)
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scientific article; zbMATH DE number 1445773
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sets of ``non-typical'' points have full topological entropy and full Hausdorff dimension |
scientific article; zbMATH DE number 1445773 |
Statements
Sets of ``non-typical'' points have full topological entropy and full Hausdorff dimension (English)
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19 September 2000
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The set of ``non-typical'' points of a dynamical system is under consideration. Multifractal analysis of dynamical systems is used. It is proved that the set of ``non-typical'' points carries full topological entropy and full Hausdorff dimension.
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multifractal analysis
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topological entropy
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Hausdorff dimension
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0.8745974
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0.8611995
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0.85049385
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0.8491611
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0.84751344
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0.8427793
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0.8420012
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0.8417367
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