English

Brownian local minima and other random dense countable sets

Probability 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0508414,
  title  = {Brownian local minima and other random dense countable sets},
  author = {Boris Tsirelson},
  journal= {arXiv preprint arXiv:math/0508414},
  year   = {2007}
}

Comments

18 pages