On the dimension of visible parts
Orponen, T. (2023). On the dimension of visible parts. Journal of the European Mathematical Society, 25(5), 1969-1983. https://doi.org/10.4171/JEMS/1230
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Journal of the European Mathematical SocietyAuthors
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2023Copyright
© 2022 European Mathematical Society
I prove that the visible parts of a compact set in Rn, n≥2, have Hausdorff dimension at most n − 1/50n from almost every direction.
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European Mathematical Society - EMS - Publishing House GmbHISSN Search the Publication Forum
1435-9855Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/117822708
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Additional information about funding
T.O. is supported by the Academy of Finland via the projects Quantitative rectifiability in Euclidean and non-Euclidean spaces and Incidences on Fractals, grant Nos. 309365, 314172, 321896. T.O. is also supported by the University of Helsinki via the project Quantitative rectifiability of sets and measures in Euclidean spaces and Heisenberg groups, project No. 7516125.License
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