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
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
1. Fibre stability for dominated self-affine sets  
R. Anttila, A. Rutar 
Preprint, available at: arXiv:2412.06579 (2024). 
 arXiv / pdf
Accepted
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
3. Level sets of prevalent Hölder functions  
R. Anttila, B. Bárány, A. Käenmäki 
Proc. Am. Math. Soc., Published electronically 
 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. 
