Research areas
My research is primarily focused on geometry of fractal sets and measures. Some specific topics include limit sets and invariant measures for non-conformal iterated function systems, random matrix products, projections and slices of fractals, random covering sets, and quasisymmetric geometry of fractals. For more information see
Selected publications
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Anttila, R., Bárány, B. & Käenmäki, A., 1 May 2025, In: Proceedings of the American Mathematical Society. 153, 5, p. 2023-2035 13 p.
Research output: Contribution to journal › Article › peer-review
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Anttila, R. & Suomala, V., 19 Dec 2025, In: Indiana University Mathematics Journal. 74, 6, p. 1721-1748 28 p.
Research output: Contribution to journal › Article › peer-review
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Open access
Anttila, R., Bárány, B. & Käenmäki, A., 1 Sept 2024, In: Ergodic Theory and Dynamical Systems. 44, 9, p. 2361-2398 38 p.
Research output: Contribution to journal › Article › peer-review
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Open access
Anttila, R., 1 Dec 2023, In: Proceedings of the Royal Society of Edinburgh, Section A: Mathematics. 153, 6, p. 2053-2078 26 p.
Research output: Contribution to journal › Article › peer-review
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