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Roope Anttila

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Roope Anttila

Dr

 https://orcid.org/0000-0003-2042-2430

  • School of Mathematics and, Statistics, North Haugh, St Andrews, KY16 9SS, UK

Personal profile

Research overview

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 my personal webpage.

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  • Level sets of prevalent Hölder functions

    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

  • Multifractal analysis for the pointwise Assouad dimension of self-similar measures

    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

  • Slices of the Takagi function

    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

    Open Access

  • Pointwise Assouad dimension for measures

    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

    Open Access