Poisson polytopes
Bárány, Imre ; Reitzner, Matthias
Ann. Probab., Tome 38 (2010) no. 1, p. 1507-1531 / Harvested from Project Euclid
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We prove the central limit theorem for the volume and the f-vector of the Poisson random polytope Πη in a fixed convex polytope P ⊂ ℝd. Here, Πη is the convex hull of the intersection of a Poisson process X of intensity η with P.
Publié le : 2010-07-15
Classification:  Random polytopes,  CLT,  approximation of convex bodies,  dependency graph,  60D05,  52A22,  60C05,  60F15 
@article{1278593958,
     author = {B\'ar\'any, Imre and Reitzner, Matthias},
     title = {Poisson polytopes},
     journal = {Ann. Probab.},
     volume = {38},
     number = {1},
     year = {2010},
     pages = { 1507-1531},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1278593958}
}

Bárány, Imre; Reitzner, Matthias. Poisson polytopes. Ann. Probab., Tome 38 (2010) no. 1, pp.  1507-1531. http://gdmltest.u-ga.fr/item/1278593958/