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On the Poisson distribution of lengths of lattice vectors in a random lattice

✍ Scribed by Anders Södergren

Publisher
Springer-Verlag
Year
2010
Tongue
French
Weight
213 KB
Volume
269
Category
Article
ISSN
0025-5874

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We form the random poset P P n, p by including each subset of n s 1, . . . , n with probability p and ordering the subsets by inclusion. We investigate the length of the Ž . longest chain contained in P P n, p . For p G ern we obtain the limit distribution of this random variable. For smaller p we g