Measures on the random graph
journal contributionposted on 01.01.1992, 00:00 by Michael H. Albert
Abstract: "We consider the problem of characterizing the finitely additive probability measures on the definable subsets of the random graph which are invariant under the action of the automorphism group of this graph. We show that such measures are all integrals of Bernoulli measures (which arise from the coin-flipping model of the construction of the random graph). We also discuss generalizations to other theories."