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arxiv: math/0511011 · v1 · submitted 2005-11-01 · 🧮 math.PR

Random dense countable sets: characterization by independence

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keywords countabledenseindependencerandombrowniancharacterizationcharacterizeddistributed
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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 They are identically distributed; the former ad hoc proof of this fact is now superseded by a general result.

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