A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules

Batan M. A., Landi C., PAMUK M.

Mediterranean Journal of Mathematics, cilt.22, sa.4, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 4
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s00009-025-02856-9
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: bottleneck distance, Interleaving distance, multiparameter persistence module, rectangle persistence module
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We give formulas for calculating the interleaving distance between rectangle persistence modules that depend solely on the geometry of the underlying rectangles. Moreover, we extend our results to calculate the bottleneck distance for rectangle decomposable persistence modules.