Aleksi Pyörälä

I am a PhD student in the research group of Fractal Geometry. I obtained my MSc from the University of Oulu in 2019 and began my doctoral studies in the fall of the same year.

My research interests include dimension theory and arithmetic properties of self-similar and self-affine sets and measures, and applications of the scenery flow and ergodic theory into geometry of measures.

My CV (Dropbox)

Publications and preprints

1. Pyörälä, A. (2023). Resonance between planar self-affine measures.  Preprint.

2. Pyörälä, A. (2022). The scenery flow of self-similar measures with weak separation condition. Ergodic Theory and Dynamical Systems, 42(10), 3167-3190. Doi:10.1017/etds.2021.86

3. Pyörälä, A., Shmerkin, P., Suomala, V., & Wu, M. (2020). Covering the Sierpinski carpet with tubes. Accepted for publication in Israel Journal of Mathematics.

Current works-in-progress (with working titles)

1. (2023+). The scaling scenery of self-conformal measures. Joint work with Balázs Bárány, Antti Käenmäki and Meng Wu.