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We present results concerning when the joint distribution of an exchangeablesequence is determined by the marginal distributions of its partial sums. Thequestion of whether or not this determination occurs was posed by David Aldous.We then consider related uniqueness problems, including a continuous timeanalog to the Aldous problem and a randomized univariate moment problem.

A Negative Answer to a Problem of Aldous on Determination of Exchangeable Sequences