Automorphism-invariant measures on ℵ0-categorical structures without the independence property

Journal of Symbolic Logic 61 (2):640 - 652 (1996)
Abstract
We address the classification of the possible finitely-additive probability measures on the Boolean algebra of definable subsets of M which are invariant under the natural action of $\operatorname{Aut}(M)$ . This pursuit requires a generalization of Shelah's forking formulas [8] to "essentially measure zero" sets and an application of Myer's "rank diagram" [5] of the Boolean algebra under consideration. The classification is completed for a large class of ℵ 0 -categorical structures without the independence property including those which are stable
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DOI 10.2307/2275680
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Simple Unstable Theories.Saharon Shelah - 1980 - Annals of Mathematical Logic 19 (3):177-203.

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