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Random dense countable sets: characterization by independence

Boris Tsirelson
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Abstract

A random dense countable set is characterized (in distribution) by independence and stationarity. Two examples are `Brownian local minima' and `unordered infinite sample'. They are identically distributed; the former ad hoc proof of this fact is now superseded by a general result.

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Boris Tsirelson. 2005-11-01. Random dense countable sets: characterization by independence. https://arxiv.org/abs/math/0511011

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