3 papers
math.AT2026
Central Limit Theorems for Persistent Betti Numbers
Shunsuke Tada
Various persistent invariants have been developed in recent years. In this paper, we develop a method based on homological algebra for deriving central limit theorems for persisten…
math.RT2025
On preservation of relative resolutions for poset representations
Toshitaka Aoki, Shunsuke Tada
The concept of Galois connections (i.e., adjoint pairs between posets) is ubiquitous in mathematics. In representation theory, it is interesting because it naturally induces the ad…
math.AT2025
Stability of Bipath Persistence Diagrams
Shunsuke Tada
Recently, bipath persistent homology has been proposed as an extension of standard persistent homology, along with its visualization (bipath persistence diagram) and computational…