Yu-Liang Wu

Publications

Research articles, preprints, and theses.

Preprint

  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

Journal

  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)
    arXiv DOI
  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)
    arXiv DOI
  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)
    DOI PDF
  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)
    arXiv DOI PDF
  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)
    arXiv DOI PDF
  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)
    DOI PDF
  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)
    arXiv DOI PDF
  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)
    DOI PDF
  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)
    DOI PDF
  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)
    DOI PDF
  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)
    DOI PDF
  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)
    DOI PDF
  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)
    arXiv DOI PDF
  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)
    arXiv DOI PDF
  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)
    arXiv DOI PDF
  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)
    arXiv DOI PDF
  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)
    DOI PDF
  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)
    arXiv DOI PDF
  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)
    arXiv DOI PDF
  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)
    DOI PDF

Thesis

  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