32 citations · 78 across the 24 of their papers we have counts for
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math.PR2018★ 2 cited
Convergence of Persistence Diagrams for Topological Crackle
Takashi Owada, Omer Bobrowski
In this paper we study the persistent homology associated with topological crackle generated by distributions with an unbounded support. Persistent homology is a topological and al…
math.PR2018★ 4 cited
Limit theorems for process-level Betti numbers for sparse, critical, and Poisson regimes
Takashi Owada, Andrew Thomas
The objective of this study is to examine the asymptotic behavior of Betti numbers of Čech complexes treated as stochastic processes and formed from random points in the -dimens…
math.PR2018★ 1 cited
Sub-tree counts on hyperbolic random geometric graphs
Takashi Owada, D. Yogeshwaran
We study the hyperbolic random geometric graph introduced in Krioukov et al. For a sequence , we define these graphs to have the vertex set as Poisson points distri…