11 citations · 13 across the 6 of their papers we have counts for
6 papers
Normal approximation for statistics of randomly weighted complexes
Shu Kanazawa, Khanh Duy Trinh, D. Yogeshwaran
We prove normal approximation bounds for statistics of randomly weighted (simplicial) complexes. In particular, we consider the complete -dimensional complex on vertices wit…
Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes
Shu Kanazawa, Khanh Duy Trinh
We study the adjacency matrix of the Linial-Meshulam complex model, which is a higher-dimensional generalization of the Erdős-Rényi graph model. Recently, Knowles and Rosenthal pro…
Large deviation principle for persistence diagrams of random cubical filtrations
Yasuaki Hiraoka, Shu Kanazawa, Jun Miyanaga +1
The objective of this article is to investigate the asymptotic behavior of the persistence diagrams of a random cubical filtration as the window size tends to infinity. Here, a ran…
Girth, magnitude homology, and phase transition of diagonality
Yasuhiko Asao, Yasuaki Hiraoka, Shu Kanazawa
This paper studies the magnitude homology of graphs focusing mainly on the relationship between its diagonality and the girth. Magnitude and magnitude homology are formulations of…
Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes
Shu Kanazawa
The Linial-Meshulam complex model is a natural higher-dimensional analog of the Erdős-Rényi graph model. In recent years, Linial and Peled established a limit theorem for Betti num…
Asymptotic behavior of lifetime sums for random simplicial complex processes
Masanori Hino, Shu Kanazawa
We study the homological properties of random simplicial complexes. In particular, we obtain the asymptotic behavior of lifetime sums for a class of increasing random simplicial co…