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Recommended citation: R. Anttila, V. Suomala (2024). Multifractal analysis for the pointwise Assouad dimension of self-similar measures. To appear in Indiana Univ. Math. J.
Short description of portfolio item number 1
Short description of portfolio item number 2
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Recommended citation: R. Anttila, A. Rutar (2024). Fibre stability for dominated self-affine sets. Preprint, available at: arXiv:2412.06579
Published in Proc. R. Soc. Edinb. Sect. A, Math., 2022
Recommended citation: R. Anttila, (2022). Pointwise Assouad dimension of measures. Proc. R. Soc. Edinb. Sect. A, Math., 153 (2022), no. 6, 2053-2078
Published in Ergod. Theory Dyn. Syst., 2023
Recommended citation: R. Anttila, B. Bárány, A. Käenmäki, (2023). Slices of the Takagi function. Ergod. Theory Dyn. Syst., 44 (2024), no. 9, 2361-2398
Published in Proc. Am. Math. Soc., 2024
Recommended citation: R. Anttila, B. Bárány, A. Käenmäki, (2025). Level sets of prevalent Hölder functions. Proc. Am. Math. Soc., Published electronically
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Undergraduate course, University 1, Department, 2014
This is a description of a teaching experience. You can use markdown like any other post.
Workshop, University 1, Department, 2015
This is a description of a teaching experience. You can use markdown like any other post.
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This paper is my undergraduate research project on local versions of entropy and Lq-dimensions.
Recommended citation: R. Anttila (2020). Local Entropy and Lq-Dimensions of Measures in Doubling Metric Spaces. The PUMP Journal of Undergraduate Research, 3, 226-243.