Random compact set meets the graph of nonrandom continuous function

Authors: Boris Tsirelson

arXiv: 1308.5112v1 - DOI (math.PR)
6 pages

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.

Submitted to arXiv on 23 Aug. 2013

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