Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph Sectional Voronoi tessellations: characterization and high-dimensional limits. (English) Zbl 07824111 Bernoulli 30, No. 2, 1482-1501 (2024). MSC: 60-XX 82-XX PDFBibTeX XMLCite \textit{A. Gusakova} et al., Bernoulli 30, No. 2, 1482--1501 (2024; Zbl 07824111) Full Text: DOI arXiv Link
Godland, Thomas; Kabluchko, Zakhar; Zaporozhets, Dmitry Angle sums of random polytopes. (English) Zbl 07787854 Mich. Math. J. 73, No. 4, 815-842 (2023). MSC: 52A22 52A55 60D05 51F15 PDFBibTeX XMLCite \textit{T. Godland} et al., Mich. Math. J. 73, No. 4, 815--842 (2023; Zbl 07787854) Full Text: DOI arXiv
Calka, Pierre; Quilan, Gauthier Limit theory for the first layers of the random convex hull peeling in the unit ball. (English) Zbl 07768344 Probab. Theory Relat. Fields 187, No. 3-4, 1037-1091 (2023). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 60D05 52A22 60G55 60F05 PDFBibTeX XMLCite \textit{P. Calka} and \textit{G. Quilan}, Probab. Theory Relat. Fields 187, No. 3--4, 1037--1091 (2023; Zbl 07768344) Full Text: DOI arXiv
Kabluchko, Zakhar On expected face numbers of random beta and beta’ polytopes. (English) Zbl 1509.52005 Beitr. Algebra Geom. 64, No. 1, 155-174 (2023). MSC: 52A22 60D05 11B37 11B73 33E20 33E30 52A55 52B11 52A27 52B05 PDFBibTeX XMLCite \textit{Z. Kabluchko}, Beitr. Algebra Geom. 64, No. 1, 155--174 (2023; Zbl 1509.52005) Full Text: DOI arXiv
Bonnet, Gilles; Kabluchko, Zakhar; Turchi, Nicola Phase transition for the volume of high-dimensional random polytopes. (English) Zbl 07749470 Random Struct. Algorithms 58, No. 4, 648-663 (2021). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 52A22 PDFBibTeX XMLCite \textit{G. Bonnet} et al., Random Struct. Algorithms 58, No. 4, 648--663 (2021; Zbl 07749470) Full Text: DOI arXiv
Kabluchko, Zakhar; Thäle, Christoph The typical cell of a Voronoi tessellation on the sphere. (English) Zbl 1477.60030 Discrete Comput. Geom. 66, No. 4, 1330-1350 (2021). MSC: 60D05 52A22 52B05 PDFBibTeX XMLCite \textit{Z. Kabluchko} and \textit{C. Thäle}, Discrete Comput. Geom. 66, No. 4, 1330--1350 (2021; Zbl 1477.60030) Full Text: DOI arXiv