ANR Presage

List of publications that benefited from the support of the ANR Présage

Quenched invariance principle for random walks on Delaunay triangulations. Arnaud Rousselle. Electronic Journal of Probability, vol. 33, pages 1–32, 2015. [preprint]
Variance asymptotics for random polytopes in smooth convex bodies. Pierre Calka, Joseph E. Yukich. Probability Theory and Related Fields, vol. 158(1–2), pages 435–463, 2014. [preprint]
Fractal random series generated by Poisson-Voronoi tessellations. Pierre Calka, Yann Demichel. Trans. Amer. Math. Soc. (to appear), 2014. [preprint]
Extreme values for characteristic radii of a Poisson-Voronoi tessellation. Pierre Calka, Nicolas Chenavier. Extremes (to appear), 2014. [preprint]
The monotonicity of f-vectors of random polytopes. Olivier Devillers, Marc Glisse, Xavier Goaoc, Guillaume Moroz, Matthias Reitzner. Electronic Communications in Probability, vol. 18, pages 1–8 (article 23), 2013. [preprint]
Many empty triangles have a common edge. Imre Bárány, Jean-François Marckert, Matthias Reitzner. Discrete & Computational Geometry, vol. 50(1), pages 244–252, 2012. [preprint]

Limits of order types. Xavier Goaoc, Alfredo Hubard, Remi de Joannis de Verclos, Jean-Sébastien Sereni, Jan Volec. Proceedings of SoCG 2015, 2015. [preprint]
On the smoothed complexity of convex hulls. Olivier Devillers, Marc Glisse, Xavier Goaoc, Rémy Thomasse. Proceedings of SoCG 2015, 2015. [preprint]
Efficiently Navigating a Random Delaunay Triangulation. Nicolas Broutin, Olivier Devillers, Ross Hemsley. 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, 2014. [preprint]
Complexity analysis of random geometric structures made simpler. Olivier Devillers, Marc Glisse, Xavier Goaoc. Actes du 29ème Symposium on Computational Geometry, 2013. [preprint]

Annealed invariance principle for random walks on random graphs generated by point processes in ℝ ^d. Arnaud Rousselle. 2015. [preprint]
Extremes for the inradius in the Poisson line tessellation. Nicolas Chenavier, Ross Hemsley. 2015. [preprint]
Probability that n random points in a disk are in convex position. Jean.-François Marckert. 2014. [preprint]
Variance asymptotics and scaling limits for Gaussian Polytopes. Pierre Calka, Joseph E. Yukich. 2014. [preprint]
A cone can help you find your way in a Poisson Delaunay triangulation. Nicolas Broutin, Olivier Devillers, Ross Hemsley. 2013. [preprint]
Silhouette of a random polytope. Marc Glisse, Sylvain Lazard, Julien Michel, Marc Pouget. 2013. [preprint]
Recurrence or transience of random walks on random graphs generated by point processes in ℝ ^d. Arnaud Rousselle. 2013. [preprint]

A generator of random convex polygons in a disc. Olivier Devillers, Philippe Duchon, Rémy Thomasse. 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, 2014. [preprint]
The Maximum Degree of a Random Delaunay Triangulation in a Smooth Convex. Nicolas Broutin, Olivier Devillers, Ross Hemsley. AofA 2014 - 25th International Conference on Probabilistic Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, 2014.
A convex body with chaotic random convex hull. Olivier Devillers, Marc Glisse, Rémy Thomasse. 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, 2013. [preprint]