Random compact set meets the graph of nonrandom continuous function

Boris Tsirelson

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arXiv · 1308.5112

Random compact set meets the graph of nonrandom continuous function

Boris Tsirelson

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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.

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Boris Tsirelson. 2013-08-23. Random compact set meets the graph of nonrandom continuous function. https://arxiv.org/abs/1308.5112

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