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arxiv: 1308.5112 · v1 · pith:QMHH44IFnew · submitted 2013-08-23 · 🧮 math.PR

Random compact set meets the graph of nonrandom continuous function

classification 🧮 math.PR
keywords graphplanecompactcontinuouseveryfunctionrandomalmost
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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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