Liste des articles ayant bénéficié du soutien de l’ANR Présage
Publications journal
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Quenched invariance principle for random walks on Delaunay triangulations. Arnaud Rousselle. Electronic Journal of Probability, vol. 33, pages 1–32, 2015. [preprint]
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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]
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Fractal random series generated by Poisson-Voronoi tessellations. Pierre Calka, Yann Demichel. Trans. Amer. Math. Soc. (to appear), 2014. [preprint]
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Extreme values for characteristic radii of a Poisson-Voronoi tessellation. Pierre Calka, Nicolas Chenavier. Extremes (to appear), 2014. [preprint]
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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]
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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]
Actes de conférences
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Limits of order types. Xavier Goaoc, Alfredo Hubard, Remi de Joannis de Verclos, Jean-Sébastien Sereni, Jan Volec. Proceedings of SoCG 2015, 2015. [preprint]
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On the smoothed complexity of convex hulls. Olivier Devillers, Marc Glisse, Xavier Goaoc, Rémy Thomasse. Proceedings of SoCG 2015, 2015. [preprint]
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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]
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Complexity analysis of random geometric structures made simpler. Olivier Devillers, Marc Glisse, Xavier Goaoc. Actes du 29ème Symposium on Computational Geometry, 2013. [preprint]
Preprints
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Annealed invariance principle for random walks on random graphs generated by point processes in ℝ d. Arnaud Rousselle. 2015. [preprint]
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Extremes for the inradius in the Poisson line tessellation. Nicolas Chenavier, Ross Hemsley. 2015. [preprint]
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Probability that n random points in a disk are in convex position. Jean.-François Marckert. 2014. [preprint]
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Variance asymptotics and scaling limits for Gaussian Polytopes. Pierre Calka, Joseph E. Yukich. 2014. [preprint]
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A cone can help you find your way in a Poisson Delaunay triangulation. Nicolas Broutin, Olivier Devillers, Ross Hemsley. 2013. [preprint]
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Silhouette of a random polytope. Marc Glisse, Sylvain Lazard, Julien Michel, Marc Pouget. 2013. [preprint]
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Recurrence or transience of random walks on random graphs generated by point processes in ℝ d. Arnaud Rousselle. 2013. [preprint]
Posters
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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]
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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.
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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]