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Yu-Liang Wu

[email protected]s92077.github.io

Department of Mathematical Sciences, University of Oulu, Pentti Kaiteran katu 1, 90570 Oulu, Finland

Research Interests

Dynamical Systems, Ergodic Theory, Fractal Geometry

Education

PhD in Mathematics
University of Oulu

Supervisors: Professor Meng Wu, Professor Ville Suomala, Associate Professor Sascha Troscheit

Master in Applied Mathematics
National Chiao Tung University
Bachelor in Electrical and Computer Engineering
National Chiao Tung University

Teaching

An Introduction to Large Deviation Theory
Guest Lecturer, National Chengchi University (NCCU)
An Introduction to Large Deviation Theory
Lecturer, University of Oulu
Probability
Teaching Assistant, University of Oulu
Measure and Integration 2
Teaching Assistant, University of Oulu
Introduction to Analysis
Teaching Assistant, National Chiao Tung University

Experience

Exchange Student
School of Electronics and Computer Science, University of Southampton
Project: Medical Instrument Technology
TMU-MIT (Sana) Hackathon

Publications

Preprints

  1. 1.
    Scaling properties of invariant measures for conformal iterated function systems
    Meng Wu, Yu-Liang Wu.
    (2025).
  2. 2.
    Spectral measures with arbitrary dimensions
    Yu-Liang Wu, Zhi-Yi Wu.
    (2022).arXiv

Journals

  1. 1.
    Van der Corput and metric theorems for geometric progressions for self-similar measures
    Amir Algom, Yuanyang Chang, Meng Wu, Yu-Liang Wu.
    Mathematische Annalen, Vol. 393, No. 1, pp. 183-214, (2025).arXivDOI
  2. 2.
    Projected spread models
    Jung-Chao Ban, Jyy-I Hong, Cheng-Yu Tsai, Yu-Liang Wu.
    Journal of Mathematical Biology, Vol. 91, No. 2, pp. 15, (2025).arXivDOI
  3. 3.
    Hausdorff dimensions of irreducible Markov hom tree‐shifts
    Jung‐Chao Ban, Guan‐Yu Lai, Yu‐Liang Wu.
    Journal of the London Mathematical Society, Vol. 111, No. 6, (2025).DOIPDF
  4. 4.
    Quantitative recurrence problem on some Bedford-McMullen carpets
    Yu-Liang Wu, Na Yuan.
    Journal of Mathematical Analysis and Applications, Vol. 543, No. 2, pp. 128938, (2025).arXivDOIPDF
  5. 5.
    On the topological pressure of axial product on trees
    Jung-Chao Ban, Yu-Liang Wu.
    Stochastics and Dynamics, Vol. 25, No. 01, pp. 2550007, (2025).arXivDOIPDF
  6. 6.
    Topological entropy and sequence entropy for hom tree-shifts on unexpandable trees
    Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu, Guan-Yu Lai, Yu-Liang Wu.
    Qualitative Theory of Dynamical Systems, Vol. 23, No. 3, pp. 108, (2024).DOIPDF
  7. 7.
    Beurling densities of regular maximal orthogonal sets of self-similar spectral measure with consecutive digit sets
    Yu-Liang Wu, Zhi-Yi Wu.
    Forum Mathematicum, Vol. 36, No. 3, pp. 735-742, (2024).arXivDOIPDF
  8. 8.
    Decidability of CPC-irreducibility of subshifts of finite type over free groups
    Jung-Chao Ban, Chih-Hung Chang, Yu-Liang Wu.
    Semigroup Forum, Vol. 106, No. 3, pp. 527-542, (2023).DOIPDF
  9. 9.
    Topological and random spread models with frozen symbols
    Jung-Chao Ban, Jyy-I Hong, Cheng-Yu Tsai, Yu-Liang Wu.
    Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 33, No. 6, (2023).DOIPDF
  10. 10.
    Mathematical analysis of topological and random $m$-order spread models
    Jung-Chao Ban, Jyy-I Hong, Yu-Liang Wu.
    Journal of Mathematical Biology, Vol. 86, No. 3, pp. 40, (2023).DOIPDF
  11. 11.
    An analogue of topological sequence entropy for Markov hom tree-shifts
    Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu, Guan-Yu Lai, Yu-Liang Wu.
    Studia Mathematica, Vol. 270, No. 3, pp. 263-283, (2023).DOIPDF
  12. 12.
    Spread rates of spread models with frozen symbols
    Jung-Chao Ban, Jyy-I Hong, Yu-Liang Wu.
    Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 32, No. 10, pp. 103113, (2022).DOIPDF
  13. 13.
    Topological entropy for shifts of finite type over $\mathbb{Z}$ and trees
    Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu, Yu-Liang Wu.
    Theoretical Computer Science, Vol. 930, pp. 24-32, (2022).arXivDOIPDF
  14. 14.
    Topologically mixing properties of multiplicative integer systems
    Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu, Guan-Yu Lai, Yu-Liang Wu.
    Real Analysis Exchange, Vol. 47, No. 1, (2022).arXivDOIPDF
  15. 15.
    Stem and topological entropy on Cayley trees
    Jung-Chao Ban, Chih-Hung Chang, Yu-Liang Wu, Yu-Ying Wu.
    Mathematical Physics, Analysis and Geometry, Vol. 25, No. 1, pp. 1, (2022).arXivDOIPDF
  16. 16.
    Characterization and topological behavior of homomorphism tree-shifts
    Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu, Guan-Yu Lai, Yu-Liang Wu.
    Topology and its Applications, Vol. 302, pp. 107848, (2021).arXivDOIPDF
  17. 17.
    Mathematical analysis of spread models: From the viewpoints of deterministic and random cases
    Jung-Chao Ban, Chih-Hung Chang, Jyy-I Hong, Yu-Liang Wu.
    Chaos, Solitons & Fractals, Vol. 150, pp. 111106, (2021).DOIPDF
  18. 18.
    On structure of topological entropy for tree-shift of finite type
    Jung-Chao Ban, Chih-Hung Chang, Wen-Guei Hu, Yu-Liang Wu.
    Journal of Differential Equations, Vol. 292, pp. 325-353, (2021).arXivDOIPDF
  19. 19.
    Decidability of irreducible tree shifts of finite type
    Jung-Chao Ban, Chih-Hung Chang, Nai-Zhu Huang, Yu-Liang Wu.
    Journal of Statistical Physics, Vol. 177, No. 6, pp. 1043-1062, (2019).arXivDOIPDF
  20. 20.
    Motion resistant image-photoplethysmography based on spectral peak tracking algorithm
    Bing-Fei Wu, Po-Wei Huang, Chun-Hsien Lin, Meng-Liang Chung, Tsong-Yang Tsou, Yu-Liang Wu.
    IEEE Access, Vol. 6, pp. 21621-21634, (2018).DOIPDF

Thesiss

  1. 1.
    Statistical and geometric properties of tree-shifts and fractals: a dynamical perspective
    Yu-Liang Wu.
    Doctoral thesis, University of Oulu, (2025).PDF
  2. 2.
    On the existence of the topological entropy on Markov-Cayley tree
    Yu-Liang Wu.
    Master thesis, National Chiao Tung University, (2021).PDF
https://s92077.github.ioLast updated: Nov 2026