D. Attali, O. Devillers, and X. Goaoc, The Effect of Noise on the Number of Extreme Points
URL : https://hal.archives-ouvertes.fr/inria-00438409

I. Bárány and D. Larman, Convex bodies, economic cap coverings, random polytopes, pp.274-291, 1988.

I. Bárány and V. Vu, Central limit theorems for gaussian polytopes. The Annals of Probability, pp.1593-1621, 2007.

F. Cazals and J. Giesen, Delaunay triangulation based surface reconstruction Effective Computational Geometry for Curves and Surfaces, Mathematics and Visualization, pp.231-276, 2006.

R. M. Corless, G. H. Gonnet, D. Hare, D. J. Jeffrey, and D. E. Knuth, On the LambertW function, Advances in Computational Mathematics, vol.1, issue.6, pp.329-35910, 1996.
DOI : 10.1007/BF02124750

V. Damerow and C. Sohler, Extreme Points Under Random Noise, Proc. 12th European Sympos. Algorithms, pp.264-274, 2004.
DOI : 10.1007/978-3-540-30140-0_25

M. Berg, Improved bounds on the union complexity of fat objects, Discrete & Computational Geometry, pp.127-140, 2008.

O. Devillers, M. Glisse, and X. Goaoc, Complexity analysis of random geometric structures made simpler, Proceedings of the 29th annual symposium on Symposuim on computational geometry, SoCG '13
DOI : 10.1145/2462356.2462362

URL : https://hal.archives-ouvertes.fr/hal-00761171

O. Devillers, M. Glisse, and X. Goaoc, Complexity analysis of random geometric structures made simpler, Proceedings of the 29th annual symposium on Symposuim on computational geometry, SoCG '13, pp.167-176, 2013.
DOI : 10.1145/2462356.2462362

URL : https://hal.archives-ouvertes.fr/hal-00761171

O. Devillers, M. Glisse, X. Goaoc, and R. Thomasse, On the smoothed complexity of convex hulls, Symposium on Computational Geometry, pp.224-239, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01144473

R. Dwyer, The expected number of k-faces of a Voronoi diagram, Computers & Mathematics with Applications, vol.26, issue.5, pp.13-21, 1993.
DOI : 10.1016/0898-1221(93)90068-7

J. Erickson, Nice Point Sets Can Have Nasty Delaunay Triangulations, Discrete and Computational Geometry, vol.30, issue.1, pp.109-132, 2003.
DOI : 10.1007/s00454-003-2927-4

M. Glisse, S. Lazard, J. Michel, and M. Pouget, Silhouette of a random polytope, Research Report, vol.8327
URL : https://hal.archives-ouvertes.fr/hal-00841374

V. Petrov, Limit Theorems of Probability Theory Sequence of Independent Random Variables Number 4 in Oxford studies in probability, 1995.

H. Raynaud, Sur l'enveloppe convexe des nuages de points aleatoires dans R n, J. Appl. Probab, vol.7, pp.35-48, 1970.

M. Reitzner, Random Polytopes, New perspectives in stochastic geometry, pp.45-76, 2010.
DOI : 10.1093/acprof:oso/9780199232574.003.0002

URL : https://hal.archives-ouvertes.fr/hal-00758686

A. Rényi and R. Sulanke, ???ber die konvexe H???lle von n zuf???llig gew???hlten Punkten, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.2, issue.1, pp.75-84, 1963.
DOI : 10.1007/BF00535300

A. Rényi and R. Sulanke, ???ber die konvexe H???lle von n zuf???llig gew???hlten Punkten. II, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.2, issue.2, pp.138-14710, 1964.
DOI : 10.1007/BF00535973

D. A. Spielman and S. Teng, Smoothed analysis of algorithms, Journal of the ACM, vol.51, issue.3, pp.385-463, 2004.
DOI : 10.1145/990308.990310

J. J. Sylvester, On a special class of questions on the theory of probabilities, Birmingham British Association Report, pp.8-9