Research

Publications and Preprints

    2026

  1. On the Hausdorff stability of barcodes over posets.
    Mujtaba Ali, Tom Needham, Anastasios Stefanou & L. Zhou.
    Preprint. arXiv:2601.16947
  2. 2025

  3. Effective Resistance in Simplicial Complexes as Bilinear Forms: Generalizations and Properties.
    Inés García-Redondo, Claudia Landi, Sarah Percival, Anda Skeja, Bei Wang & L. Zhou.
    Preprint. arXiv:2511.10749
  4. Doughnut or Mickey Mouse? Detecting Toroidal Structure in Data through Persistent Cup-Length.
    Ekaterina S. Ivshina, Galit Anikeeva & L. Zhou.
    Preprint. arXiv:2507.11151
  5. Finding the Cores of Higher Graphs Using Geometric and Topological Means: A Survey.
    Inés García-Redondo, Claudia Landi, Sarah Percival, Anda Skeja, Bei Wang & L. Zhou.
    WinCompTop3 Proceedings, 2025.
    arXiv
  6. Persistence and Topological Complexity.
    Facundo Mémoli & L. Zhou.
    Preprint. arXiv:2506.17888
  7. Persistent Cohomology Operations and Gromov-Hausdorff Estimates.
    Anibal M. Medina-Mardones & L. Zhou.
    Preprint. arXiv:2503.17130
  8. Ephemeral Persistence Features and the Stability of Filtered Chain Complexes.
    Facundo Mémoli & L. Zhou.
    Journal of Computational Geometry, 2025.
    Journal
  9. 2024

  10. Persistent Homotopy Groups of Metric Spaces.
    Facundo Mémoli & L. Zhou.
    Journal of Topology and Analysis, 2024.
    Journal | arXiv
  11. 2023

  12. Persistent Cup Product Structures and Related Invariants.
    Facundo Mémoli, Anastasios Stefanou & L. Zhou.
    Journal of Applied and Computational Topology, 2023.
    Journal | arXiv
  13. Ephemeral Persistence Features and the Stability of Filtered Chain Complexes.
    Facundo Mémoli & L. Zhou.
    SoCG 2023.
    Conference | arXiv
  14. Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction.
    Luis Scoccola et al. (including L. Zhou).
    SoCG 2023.
    Conference | arXiv
  15. Persistent Sullivan Minimal Models of Metric Spaces.
    L. Zhou.
    Preprint. arXiv
  16. Gromov-Hausdorff Distances, Borsuk-Ulam Theorems, and Vietoris-Rips Complexes.
    Henry Adams et al.
    Preprint. arXiv
  17. 2022

  18. Persistent Cup-Length.
    Marco Contessoto, Facundo Mémoli, Anastasios Stefanou & L. Zhou.
    SoCG 2022.
    Conference | arXiv
  19. 2021

  20. Some Results About the Tight Span of Spheres.
    Facundo Mémoli, Zhengchao Wan, Qingsong Wang & L. Zhou.
    Preprint. arXiv
  21. 2020

  22. Reducing Parameter Space for Neural Network Training.
    Tong Qin, L. Zhou & Dongbin Xiu.
    Theoretical and Applied Mechanics Letters, 2020.
    Journal | arXiv
  23. 2019

  24. Generalized Fourier Transforms Associated with the Oscillator Representation.
    Jing-Song Huang & L. Zhou.
    Journal of Fourier Analysis and Applications, 2019.
    Journal