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Gilles Bonnet
Gilles Bonnet
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Title
Cited by
Cited by
Year
Monotonicity of facet numbers of random convex hulls
G Bonnet, J Grote, D Temesvari, C Thäle, N Turchi, F Wespi
Journal of mathematical analysis and applications 455 (2), 1351-1364, 2017
202017
Threshold phenomena for high-dimensional random polytopes
G Bonnet, G Chasapis, J Grote, D Temesvari, N Turchi
Communications in Contemporary Mathematics 21 (05), 1850038, 2019
182019
Phase transition for the volume of high‐dimensional random polytopes
G Bonnet, Z Kabluchko, N Turchi
Random Structures & Algorithms 58 (4), 648-663, 2021
142021
Cells with many facets in a Poisson hyperplane tessellation
G Bonnet, P Calka, M Reitzner
Advances in Mathematics 324, 203-240, 2018
102018
The maximal degree in a Poisson-Delaunay graph
G Bonnet, N Chenavier
Bernoulli 26 (2), 948-979, 2020
72020
Sharp inequalities for the mean distance of random points in convex bodies
G Bonnet, A Gusakova, C Thäle, D Zaporozhets
Advances in Mathematics 386, 107813, 2021
62021
Facets of spherical random polytopes
G Bonnet, E O'Reilly
Mathematische Nachrichten 295 (10), 1901-1933, 2022
52022
Small cells in a Poisson hyperplane tessellation
G Bonnet
Advances in Applied Mathematics 95, 31-52, 2018
42018
Asymptotic bounds on the combinatorial diameter of random polytopes
G Bonnet, D Dadush, U Grupel, S Huiberts, G Livshyts
arXiv preprint arXiv:2112.13027, 2021
32021
Poisson hyperplane tessellation: Asymptotic probabilities of the zero and typical cells
G Bonnet
Universität Osnabrück, 2016
32016
Limit theory of sparse random geometric graphs in high dimensions
G Bonnet, C Hirsch, D Rosen, D Willhalm
Stochastic Processes and their Applications 163, 203-236, 2023
22023
Weak convergence of the intersection point process of Poisson hyperplanes
A Baci, G Bonnet, C Thäle
Annales de l'Institut Henri Poincare (B) Probabilites et statistiques 58 (2 …, 2022
22022
Polytopal approximation of elongated convex bodies
G Bonnet
Advances in Geometry 18 (1), 105-114, 2018
12018
Glasslike caging with random planes
G Bonnet, P Charbonneau, G Folena
Physical Review E 109 (2), 024125, 2024
2024
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