In this article, we determine the probability of existence of small lattices in random subsets of a Boolean lattice. Furthermore, we address some Ramsey- and Turán-type questions. Analogous questions have been studied extensively for random graphs, but it turns out that the situation for Boolean lattices is quite different. © 1998 John Wiley & Sons, Inc. Random Struct. Alg., 13: 383–407, 1998
Yoshiharu KohayakawaB. Kreuter
Yoshiharu KohayakawaB. KreuterDeryk Osthus