Quantitative visibility estimates for unrectifiable sets in the plane (Q2790702)
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scientific article; zbMATH DE number 6551571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantitative visibility estimates for unrectifiable sets in the plane |
scientific article; zbMATH DE number 6551571 |
Statements
Quantitative visibility estimates for unrectifiable sets in the plane (English)
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8 March 2016
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radial projection
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visibility
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self-similar set
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Hausdorff dimension
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Favard length
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vantage points
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Hardy-Littlewood operator
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discrete unrectifiability
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Planar, self-similar sets are investigated. The visibility of such sets is estimated in terms of Favard length. New upper and lower bounds on the visibility of neighborhoods of some special plane sets are provided. It is also proved, that self-similar plane sets not contained in a line have large projection (in the meaning of Hausdorff dimension) in every direction.
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