Hirsch, Christian; Owada, Takashi Large deviation principle for geometric and topological functionals and associated point processes. (English) Zbl 1530.60030 Ann. Appl. Probab. 33, No. 5, 4008-4043 (2023). MSC: 60F10 60D05 60G55 55U10 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Owada, Takashi Convergence of persistence diagram in the sparse regime. (English) Zbl 1507.55009 Ann. Appl. Probab. 32, No. 6, 4706-4736 (2022). MSC: 55N31 55U10 60F05 60F15 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Owada, Takashi Limit theorems for Betti numbers of extreme sample clouds with application to persistence barcodes. (English) Zbl 1402.60065 Ann. Appl. Probab. 28, No. 5, 2814-2854 (2018). MSC: 60G70 60K35 60D05 55U10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid