Brownian local minima and other random dense countable sets

Boris Tsirelson

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Brownian local minima and other random dense countable sets

Boris Tsirelson

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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.

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Boris Tsirelson. 2005-08-22. Brownian local minima and other random dense countable sets. https://arxiv.org/abs/math/0508414

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