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Limit Theorems for Persistent Homology of Multiparameter Complex Processes

Hino, Masanori et al.
arXiv (All) · Papers
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algebraic-topologyprobability
Multiparameter complex processes, based on the Costa-Farber model, provide a common framework for growing random simplicial complexes, including the Linial-Meshulam and random flag complex processes. We establish laws of large numbers for persistent Betti numbers of these processes and prove that, a
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