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• W3038622503 abstract "Let M be an ℵ 0 -categorical structure and assume that M has no algebraicity and has weak elimination of imaginaries. Generalizing classical theorems of de Finetti and Ryll-Nardzewski, we show that any ergodic, Aut(M)-invariant measure on [0,1] M is a product measure. We also investigate the action of Aut(M) on the compact space LO(M) of linear orders on M. If we assume moreover that the action Aut(M)↷M is transitive, we prove that the action Aut(M)↷LO(M) either has a fixed point or is uniquely ergodic." @default.
• W3038622503 created "2020-07-10" @default.
• W3038622503 creator A5064979338 @default.
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• W3038622503 date "2021-12-06" @default.
• W3038622503 modified "2023-10-01" @default.
• W3038622503 title "Invariant measures on products and on the space of linear orders" @default.
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• W3038622503 doi "https://doi.org/10.5802/jep.180" @default.
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