Donghan Kim

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20242026

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math.AT2024

Super-Polynomial Growth of the Generalized Persistence Diagram

Donghan Kim, Woojin Kim, Wonjun Lee

The Generalized Persistence Diagram (GPD) for multi-parameter persistence naturally extends the classical notion of persistence diagram for one-parameter persistence. However, unli…

math.PR2024

On isomorphism of the space of continuous functions with finite $p$ -th variation along a partition sequence

Purba Das, Donghan Kim

We study the concept of (generalized) $p$ -th variation of a real-valued continuous function along a general class of refining sequence of partitions. We show that the finiteness of…

Super-Polynomial Growth of the Generalized Persistence Diagram

On isomorphism of the space of continuous functions with finite p-th variation along a partition sequence

On isomorphism of the space of continuous functions with finite $p$ -th variation along a partition sequence