3. Dvoretzky covering problem for general measures
R. Anttila, M. Myllyoja
Preprint, available at: arXiv:2601.11470 (2026).
arXiv / pdf
Publications
You can also find my articles on my Google Scholar or ResearchGate profiles. Note that the arXiv and pdf versions may differ from the published ones.
Preprints
2. Quasisymmetric mappings on two variants of fractal percolation
R. Anttila, S. Eriksson-Bique, A. Pyörälä
Preprint, available at: arXiv:2510.06900 (2025).
arXiv / pdf
1. Fibre stability for dominated self-affine sets
R. Anttila, A. Rutar
Preprint, available at: arXiv:2412.06579 (2024).
arXiv / pdf
Published
4. Multifractal analysis for the pointwise Assouad dimension of self-similar measures
R. Anttila, V. Suomala
Indiana Univ. Math. J., 74 (2025), no. 6, 1721–1748
arXiv / pdf
3. Level sets of prevalent Hölder functions
R. Anttila, B. Bárány, A. Käenmäki
Proc. Am. Math. Soc., 153 (2025), no. 5, 2023--2035
arXiv / pdf
2. Slices of the Takagi function
R. Anttila, B. Bárány, A. Käenmäki
Ergod. Theory Dyn. Syst., 44 (2024), no. 9, 2361-2398
arXiv / pdf
1. Pointwise Assouad dimension for measures
R. Anttila
Proc. R. Soc. Edinb. Sect. A, Math., 153 (2022), no. 6, 2053-2078
arXiv / pdf
Undergraduate
Local entropy and Lq-dimensions of measures in doubling metric spaces
R. Anttila
The PUMP Journal of Undergraduate Research, 3 (2020), 226-243.