Brownian local minima, random dense countable sets and random equivalence classes

Boris Tsirelson

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Brownian local minima, random dense countable sets and random equivalence classes

Boris Tsirelson

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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. A framework for such concepts, proposed here, includes a wide class of random equivalence classes.

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Boris Tsirelson. 2006-01-27. Brownian local minima, random dense countable sets and random equivalence classes. https://arxiv.org/abs/math/0601673

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