I am a Program-Specific Researcher at Kyoto University Institute for Advanced Study (KUIAS), Kyoto University. I obtained my Ph.D. from Tohoku University under the supervision of Prof. Yasuaki Hiraoka. Recently, I visited Prof. Matthew Kahle's group at The Ohio State University as a research scholar.
Research interests: Stochastic topology, Topological data analysis
Publications
Preprints
Yasuaki Hiraoka, Yusuke Imoto, Shu Kanazawa, and Enhao Liu: Curse of Dimensionality on Persistence Diagrams, 2024. arXiv:2404.18194
Shu Kanazawa, Khanh Duy Trinh, and D. Yogeshwaran: Normal approximation for statistics of randomly weighted complexes, 2023. arXiv:2312.07771
Shu Kanazawa and Khanh Duy Trinh: Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, 2023. arXiv:2308.11540
Refereed papers
Shu Kanazawa, Yasuaki Hiraoka, Jun Miyanaga, and Kenkichi Tsunoda: Large deviation principle for persistence diagrams of random cubical filtrations, J. Appl. Comput. Topol. (2024). arXiv:2210.12469
Yasuhiko Asao, Yasuaki Hiraoka, and Shu Kanazawa: Girth, magnitude homology and phase transition of diagonality, Proc. Roy. Soc. Edinburgh Sect. A 154 (2024), no. 1, 221-247. arXiv:2101.09044
Shu Kanazawa: Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes, Random Structures Algorithms 60 (2022), no. 1, 68-105. arXiv: 2003.08066
Masanori Hino and Shu Kanazawa: Asymptotic behavior of lifetime sums for random simplicial complex processes, J. Math. Soc. Japan 71 (2019), no. 3, 765-804. arXiv:1802.00548
Other articles
[In Japanese] 金澤秀, ランダム単体複体のBetti数の収束について, 第11回白浜研究集会報告集, 40-46, 2020.
Shu Kanazawa. Topology of random simplicial complexes and lifetimes of persistent homology, Tohoku University Repository, 2020. (PhD Thesis)
Talks
Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, Kyoto Hiraoka Laboratory Seminar, Kyoto University, April 18, 2024.
Central limit theorem for linear eigenvalue statistics of the adjacency matrices of random simplicial complexes, Combinatorics and Probability Seminar, The Ohio State University, October 5, 2023.
Large deviation principle for persistence diagrams, TDA week 2023, Kyoto University, August 3, 2023.
Limit theorems for eigenvalue statistics of the adjacency matrices of random simplicial complexes, TAGGS seminar, The Ohio State University, April 21, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, Analysis and Applications Seminar, Florida Atlantic University, March 30, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, Randomness in Topology and its Applications, Institute for Mathematical and Statistical Innovation, March 22, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, Topology, Geometry, and Data Analysis Seminar, The Ohio State University, January 17, 2023.
Large deviation principle for persistence diagrams of random cubical filtrations, TAGGS seminar, The Ohio State University, December 2, 2022.
[In Japanese] A limit theorem for Betti numbers of random simplicial complexes, エクスパンダーグラフの構成手法の確立とその応用, オンライン, 2022年8月22-26日.
Large deviation principle for persistence diagrams of random cubical filtrations, Dynamics, Topology and Computations, Mathematical Research and Conference Center, Będlewo, Poland, June 19-25, 2022.
[In Japanese] On the large deviation principle for persistence diagrams of random cubical filtration, 数学と諸分野の連携にむけた若手数学者交流会2022, オンライン, 2022年3月7-8日.
On the large deviation principle for persistence diagrams of random cubical filtration, TDA Week, Online, February 14-18, 2022.
On the large deviation principle for persistence diagrams of random cubical filtration, Discrete Geometric Analysis and its Applications, Online, January 7-9, 2022.
[In Japanese] Girth, magnitude homology, and phase transition of diagonality, CREST TDAミーティング, オンライン, 2021年2月16日.
Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes, Asia Pacific Seminar on Applied Topology and Geometry, Online, August 21, 2020.
A limit theorem for Betti numbers of homogeneous and spatially independent random simplicial complexes, Algebraic Topology: Methods, Computation, and Science, Online, July 7, 2020.
[In Japanese] Topological phase transitions in random simplicial complexes, 関西確率論セミナー, オンライン, 2020年5月29日.
[In Japanese] A limit theorem for Betti numbers of homogeneous and spatially independent random simplicial complexes, 2019年度確率論シンポジウム, 慶応義塾大学, 2019年12月16-19日.
[In Japanese] ランダム単体複体のBetti数の収束について, 第11回白浜研究集会, 紀州・白浜温泉 旅館むさし, 2019年12月9-12日.
[In Japanese] Some phase transitions in random simplicial complexes, トポロジカルデータ解析研究集会, 弘前大学, 2019年6月19-21日.
[In Japanese] Local contributions to Betti numbers in random simplicial complexes, 数学パワーが世界を変える2019, 東京ガーデンパレス, 2019年3月10-11日.
Local structures of random simplicial complexes, TAGGS seminar, The Ohio State University, March 1, 2019.
[In Japanese] Lifetime distributions of holes in random complex processes, 情報系 WINTER FESTA Episode4, 学術総合センター内 一橋講堂, 2018年12月25-26日.
[In Japanese] ランダム単体複体の収束と不変量の連続性に関して, 応用数学フレッシュマンセミナー2018, 京都大学, 2018年11月13日.
Asymptotic behavior of lifetime sums for random simplicial complex processes, The 5th Joint Workshop of A3 Foresight Program ''Mathematics of Biology, Fluid Dynamic and Material Sciences'', Lakai Sandpine Hotel, Gangneung, S. Korea, October 18-20, 2018.
Asymptotic behavior of lifetime sums for random simplicial complex processes, Applied Geometry & Topology, Kyoto University, July 24-25, 2018.
Asymptotic behavior of lifetime sums for random simplicial complex processes, The 40th Conference on Stochastic Processes and their Applications International Conference, Chalmers Conference Centre, Gothenburg, Sweden, June 11-15, 2018.
[In Japanese] Asymptotic behavior of lifetime sums for random simplicial complex processes, 日本数学会2018年度年会, 東京大学, 2018年3月18-21日.
[In Japanese] パーシステントホモロジーに基づくFriezeのζ(3)-極限定理の高次元への一般化, 2017年度応用数学合同研究集会, 龍谷大学, 2017年12月14-16日.
[In Japanese] Asymptotic behavior of lifetime sums for random simplicial complex processes, 2017年度確率論シンポジウム, 東北大学, 2017年12月11-15日.
Asymptotic behavior of lifetime sums of Betti numbers for random simplicial complex processes, Combinatorics Seminar, The Ohio State University, November 16, 2017.
[In Japanese] ランダム単体複体過程とパーシステントホモロジー, 応用数学フレッシュマンセミナー2017, 京都大学, 2017年11月11日.
[In Japanese] Asymptotic behavior of lifetime sums for random simplicial complex processes, 東北大学幾何セミナー, 東北大学, 2017年11月7日.
The law of large numbers of the lifetime in random complex processes, Applied Algebraic Topology 2017, Hokkaido University, Sapporo, Japan, August 8-12, 2017.
[In Japanese] Asymptotic behavior of the lifetime sum in random complex processes, 関西確率論セミナー, 京都大学, 2017年7月21日.
[In Japanese] Clique複体過程の生存時間和について, 東北大学確率論セミナー, 東北大学, 2017年5月19日.
[In Japanese] ランダム複体におけるBetti数評価とパーシステントホモロジーの生存時間, 確率論早春セミナー2017, 大阪市立大学, 2017年3月8-9日.
Address: Yoshida Ushinomiya-cho, Sakyo-ku, Kyoto 606-8501, Japan
Email: kanazawa.shu.2w[at]kyoto-u.ac.jp