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math.CT2025
Categorical Diffusion of Weighted Lattices
Robert Ghrist, Miguel Lopez, Paige Randall North +1
We introduce a categorical formalization of diffusion processes for network-structured data, motivated by applications in data science and information dynamics. At the heart of our…
math.CT2021
Saecular persistence
Robert Ghrist, Gregory Henselman-Petrusek
A persistence module is a functor , where is the poset category of a totally ordered set. This work introduces saecular decomposition: a…