Publications

Below you can find a list of my publications. You may also find my publications on my Google Scholar or Research Gate pages. To date, I have authored 7 publications, with 3 preprints, and 4 published. Note that the pdf and arXiv versions may differ from the published ones.

Preprints

1. Dvoretzky covering problem for general measures
   R. Anttila, M. Myllyoja
   Preprint, available at arXiv:2601.11470 (2025)
   arXiv/pdf
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
3. Fibre stability for dominated self-affine sets
   R. Anttila, A. Rutar
   Preprint, available at arXiv:2412.06579 (2024)
   arXiv/pdf

Published

1. 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
   doi/arXiv/pdf
2. Level sets of prevalent Hölder functions
   R. Anttila, B. Bárány, A. Käenmäki
   Proc. Am. Math. Soc., 153, (2025), no. 5, 2023-2035
   doi/arXiv/pdf
3. Slices of the Takagi function
   R. Anttila, B. Bárány, A. Käenmäki
   Ergod. Theory Dyn. Syst., 44, (2024), no. 9, 2361-2398
   doi/arXiv/pdf
4. Pointwise Assouad dimension for measures
   R. Anttila
   Proc. R. Soc. Edinb. Sect. A, Math., 153, (2022), no. 6, 2053-2078
   doi/arXiv/pdf