32 citations · 78 across the 24 of their papers we have counts for
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math.PR2019★ 3 cited
Functional limit theorems for the Euler characteristic process in the critical regime
Andrew M. Thomas, Takashi Owada
This study presents functional limit theorems for the Euler characteristic of Vietoris-Rips complexes. The points are drawn from a non-homogeneous Poisson process on …
math.PR2019★ 2 cited
A functional non-central limit theorem for multiple-stable processes with long-range dependence
Shuyang Bai, Takashi Owada, Yizao Wang
A functional limit theorem is established for the partial-sum process of a class of stationary sequences which exhibit both heavy tails and long-range dependence. The stationary se…