Interpolation percolation

Martin P. W. Zerner

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arXiv · 1007.5327

Interpolation percolation

Martin P. W. Zerner

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Abstract

Let X be a countably infinite set of real numbers and let Y_x, x \in X, be an independent family of stationary random subsets of the real numbers, e.g. homogeneous Poisson point processes. We give criteria for the a.s. existence of various "regular" functions f with the property that f(x) \in Y_x for all x \in X. Several open questions are posed.

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Martin P. W. Zerner. 2010-07-29. Interpolation percolation. https://arxiv.org/abs/1007.5327

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