English

Random dense countable sets: characterization by independence

Probability 2007-05-23 v1

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 They are identically distributed; the former ad hoc proof of this fact is now superseded by a general result.

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Cite

@article{arxiv.math/0511011,
  title  = {Random dense countable sets: characterization by independence},
  author = {Boris Tsirelson},
  journal= {arXiv preprint arXiv:math/0511011},
  year   = {2007}
}

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17 pages