On one fractal property of the Minkowski function
arXiv:1701.06640 · doi:10.1007/s13398-017-0396-5
Abstract
It is shown in the present article that the Minkowski function does not preserve the Hausdorff-Besicovitch dimension. Results of this article were presented by the author of this article on the Second Interuniversity Scientific Conference on Mathematics and Physics for Young Scientists in April, 2011 (Links to the conference paper (in Ukrainian): www.researchgate.net/publication/301637057, www.researchgate.net/publication/311665828. A link to the presentation (in Ukrainian): www.researchgate.net/publication/303752636).
6 pages
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