32 citations · 78 across the 24 of their papers we have counts for
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math.PR2021★ 1 cited
Convergence of persistence diagram in the sparse regime
Takashi Owada
The objective of this paper is to examine the asymptotic behavior of persistence diagrams associated with Čech filtration. A persistence diagram is a graphical descriptor of a topo…
math.PR2021
Functional strong law of large numbers for Betti numbers in the tail
Takashi Owada, Zifu Wei
The objective of this paper is to investigate the layered structure of topological complexity in the tail of a probability distribution. We establish the functional strong law of l…