1. Fibre stability for dominated self-affine sets
R. Anttila, A. Rutar
Preprint, available at: arXiv:2412.06579 (2024).
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
Accepted
2. Level sets of prevalent Hölder functions
R. Anttila, B. Bárány, A. Käenmäki
Accepted in Proc. Am. Math. Soc. (2024).
arXiv / pdf
1. Multifractal analysis for the pointwise Assouad dimension of self-similar measures
R. Anttila, V. Suomala
Accepted in Indiana Univ. Math. J. (2024).
arXiv / pdf
Published
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.