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G.F.Y. (Gilles) Bonnet, Dr

Research interests Publicaties

Research interests

My main research interests are centered around Probability Theory and Convex Geometry.

Publicaties

Asymptotic Bounds on the Combinatorial Diameter of Random Polytopes

Bonnet, G., Dadush, D., Grupel, U., Huiberts, S. & Livshyts, G., 3-feb.-2026, (E-pub ahead of print) In: Discrete and Computational Geometry. 42 blz.

Onderzoeksoutput › › peer review

Degrees in the $β$- and $β'$-Delaunay graphs

Bonnet, G. & Gordon, J., 31-mrt.-2025, (Submitted) arXiv, 31 blz.

Onderzoeksoutput: Voordruk ›

Concentration inequalities for Poisson U-statistics

Bonnet, G. & Gusakova, A., 25-apr.-2024, (Submitted) arXiv, 48 blz.

Onderzoeksoutput: Voordruk ›

Glasslike caging with random planes

Bonnet, G., Charbonneau, P. & Folena, G., 22-feb.-2024, In: Physical Review E. 109, 2, 13 blz., 024125.

Onderzoeksoutput › › peer review

Glass-like Caging with Random Planes

Bonnet, G., Charbonneau, P. & Folena, G., 3-aug.-2023, (Submitted) arXiv, 18 blz.

Onderzoeksoutput: Voordruk ›

Limit theory of sparse random geometric graphs in high dimensions

Bonnet, G., Hirsch, C., Rosen, D. & Willhalm, D., sep.-2023, In: Stochastic processes and their applications. 163, blz. 203-236 34 blz.

Onderzoeksoutput › › peer review

Asymptotic Bounds on the Combinatorial Diameter of Random Polytopes

Bonnet, G., Dadush, D., Huiberts, S., Grupel, U. & Livshyts, G., 1-jun.-2022, 38th Symposium on Computational Geometry (SoCG 2022): Leibniz International Proceedings in Informatics (LIPIcs). Goaoc, X. & Kerber, M. (reds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, Vol. 224. blz. 18:1-18:15 15 blz. 18. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 224).

Onderzoeksoutput › › peer review

Facets of spherical random polytopes

Bonnet, G. & O'Reilly, E., okt.-2022, In: Mathematische Nachrichten. 295, 10, blz. 1901-1933 33 blz.

Onderzoeksoutput › › peer review

Weak convergence of the intersection point process of Poisson hyperplanes

Baci, A., Bonnet, G. & Thäle, C., mei-2022, In: Annales de l institut henri poincare-Probabilites et statistiques. 58, 2, blz. 1208-1227 20 blz.

Onderzoeksoutput › › peer review

Phase transition for the volume of high-dimensional random polytopes

Bonnet, G., Kabluchko, Z. & Turchi, N., jul.-2021, In: Random structures & algorithms. 58, 4, blz. 648-663 16 blz.

Onderzoeksoutput › › peer review

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