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math.AT2025
Persistence modules induced by inner functions
Jiaxing He, Bingzhe Hou, Xiao Wang +1
As well-known, inner functions play an important role in the study of bounded analytic function theory. In recent years, persistence module theory, as a main tool applied to Topolo…
math.AT2024
Stable Similarity Comparison of Persistent Homology Groups
Jiaxing He, Bingzhe Hou, Tieru Wu +1
Classification in the sense of similarity is an important issue. In this paper, we study similarity classification in Topological Data Analysis. We define a pseudometric $d_{S}^{(p…