Random compact set meets the graph of nonrandom continuous function
Probability
2013-08-26 v1
Abstract
On the plane, every random compact set with almost surely uncountable first projection intersects with a high probability the graph of some continuous function. Implication: every black noise over the plane fails to factorize when the plane is split by such graph.
Keywords
Cite
@article{arxiv.1308.5112,
title = {Random compact set meets the graph of nonrandom continuous function},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:1308.5112},
year = {2013}
}
Comments
6 pages