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math.PR2020
The Shadow knows: Empirical Distributions of Minimum Spanning Acycles and Persistence Diagrams of Random Complexes
Nicolas Fraiman, Sayan Mukherjee, Gugan Thoppe
In 1985, Frieze showed that the expected sum of the edge weights of the minimum spanning tree (MST) in the uniformly weighted graph converges to . Recently, Hino and Kanazawa…
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…