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About us Practical matters How to find us G.F.Y. (Gilles) Bonnet, Dr

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

Research interests Publications

Research interests

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

Publications

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

Bonnet, G. & Gordon, J., 31-Mar-2025, (Submitted) arXiv, 31 p.

Research output: Working paper › Preprint › Academic

Concentration inequalities for Poisson U-statistics

Bonnet, G. & Gusakova, A., 25-Apr-2024, (Submitted) arXiv, 48 p.

Research output: Working paper › Preprint › Academic

Glasslike caging with random planes

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

Research output: Contribution to journal › Article › Academic › peer-review

Glass-like Caging with Random Planes

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

Research output: Working paper › Preprint › Academic

Limit theory of sparse random geometric graphs in high dimensions

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

Research output: Contribution to journal › Article › Academic › 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. (eds.). Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing, Vol. 224. p. 18:1-18:15 15 p. 18. (Leibniz International Proceedings in Informatics, LIPIcs; vol. 224).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Facets of spherical random polytopes

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

Research output: Contribution to journal › Article › Academic › peer-review

Weak convergence of the intersection point process of Poisson hyperplanes

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

Research output: Contribution to journal › Article › Academic › 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, p. 648-663 16 p.

Research output: Contribution to journal › Article › Academic › peer-review

Sharp inequalities for the mean distance of random points in convex bodies

Bonnet, G., Gusakova, A., Thäle, C. & Zaporozhets, D., 6-Aug-2021, In: Advances in Mathematics. 386, 27 p., 107813.

Research output: Contribution to journal › Article › Academic › peer-review

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