Yu-Liang Wu

Publications

Preprint

  1. Scaling properties of invariant measures for conformal iterated function systems

    Meng Wu , Yu-Liang Wu
    (2025)

  2. Spectral measures with arbitrary dimensions

    Yu-Liang Wu , Zhi-Yi Wu
    (2022)
    arXiv

Journal

  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. 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. 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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

  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

Thesis

  1. Statistical and geometric properties of tree-shifts and fractals: a dynamical perspective

    Yu-Liang Wu
    Doctoral thesis, University of Oulu (2025)

  2. On the existence of the topological entropy on Markov-Cayley tree

    Yu-Liang Wu
    Master thesis, National Chiao Tung University (2021)