Brownian local minima and other random dense countable sets

Mathematics – Probability

Scientific paper

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18 pages

Scientific paper

We compare two examples of random dense countable sets, `Brownian local
minima' and `unordered uniform infinite sample'. They appear to be identically
distributed. A framework for such notions is proposed. In addition, random
elements of other singular spaces (especially, reals modulo rationals) are
considered.

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