A1 Journal article (refereed)
On the dimension of visible parts (2023)

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

JYU authors or editors

Publication details

All authors or editors: Orponen, Tuomas

Journal or series: Journal of the European Mathematical Society

ISSN: 1435-9855

eISSN: 1435-9863

Publication year: 2023

Publication date: 13/04/2022

Volume: 25

Issue number: 5

Pages range: 1969-1983

Publisher: European Mathematical Society - EMS - Publishing House GmbH

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.4171/JEMS/1230

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/88958

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1912.10898

Abstract

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.

Keywords: fractals; measure theory

Free keywords: visible parts; Hausdorff dimension

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 3