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1
Citation
Citations since 2017
Introduction
I am currently a PhD student at the University of Oulu Department of Mathematical Sciences. My main topics of interest are in fractal geometry, namely in dimension theory and fine geometry of itersted function systems.
Additional affiliations
September 2020 - October 2020
Position
- Research Assistant
Description
- I acted as a teaching assistant in the courses "Introduction to Mathematical Deduction" and "Functions and Limit".
June 2020 - August 2020
Position
- University Trainee
Description
- I participated in independent research on a topic in multifractal analysis. The results are reported in the article "Local Entropy and Lq-Dimensions of Measures in Doubling Metric Spaces". PUMP J. Undergrad. Res. 3 (2020), 226-243.
Education
June 2020 - July 2021
University of Oulu
Field of study
- Mathematics
August 2017 - June 2020
Publications
Publications (4)
We show that the Hausdorff dimension of any slice of the graph of the Takagi function $T_\lambda$ is bounded above by the Assouad dimension of $T_\lambda$ minus one, and that the bound is sharp. The result is deduced from a statement on more general self-affine sets, which is of independent interest. We also prove that if the upper pointwise dimens...
We introduce a pointwise variant of the Assouad dimension for measures on metric spaces, and study its properties in relation to the global Assouad dimension. We show that, in general, the value of the pointwise Assouad dimension may differ from the global counterpart, but in many classical cases, the pointwise Assouad dimension exhibits similar ex...
We introduce a pointwise variant of the Assouad dimension for measures on metric spaces, and study its properties in relation to the global Assouad dimension. We show that, in general, the value of the pointwise Assouad dimension differs from the global counterpart, but in many classical cases, it exhibits similar exact dimensionality properties as...
We define restricted entropy and Lq-dimensions of measures in doubling metric spaces and show that these definitions are consistent with the monotonicity of Lq-dimensions. This provides a correct proof for a theorem considering the relationships between local entropy and Lq-dimensions in a paper by Käenmäki, Rajala and Suomala, the original proof o...
