Geodesic
Gale duality and the neighborliness of random polytopes.~I
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 2, pp. 62-86

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We construct the duality for special probability spaces using the Gale duality.
Keywords: Gale duality, $k$-neighborly polytope, probability space. 
@article{MAIS_2012_19_2_a4,
     author = {A. G. Brodskiy},
     title = {Gale duality and the neighborliness of random {polytopes.~I}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {62--86},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_2_a4/}
}
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A. G. Brodskiy. Gale duality and the neighborliness of random polytopes.~I. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 2, pp. 62-86. http://geodesic.mathdoc.fr/item/MAIS_2012_19_2_a4/