32 citations · 78 across the 24 of their papers we have counts for
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math.PR2020★ 1 cited
Functional strong laws of large numbers for Euler characteristic processes of extreme sample clouds
Andrew M. Thomas, Takashi Owada
To recover the topology of a manifold in the presence of heavy tailed or exponentially decaying noise, one must understand the behavior of geometric complexes whose points lie in t…
math.PR2020
Limit theorems for topological invariants of the dynamic multi-parameter simplicial complex
Takashi Owada, Gennady Samorodnitsky, Gugan Thoppe
Topological study of existing random simplicial complexes is non-trivial and has led to several seminal works. However, the applicability of such studies is limited since the rando…