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Brownian local minima and other random dense countable sets

Research paper by Boris Tsirelson

Indexed on: 22 Aug '05Published on: 22 Aug '05Published in: Mathematics - Probability



Abstract

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.