Strict Fine Maxima

P. J. Fitzsimmons (University of California, San Diego)

Abstract


We provide a simple probabilistic proof of a result of J. Král and I. Netuka: If  $f$ is a measurable real-valued function on $\mathbb{R}^d$ ($d > 1$) then the set of points at which  $f$ has a strict fine local maximum value is polar.

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Pages: 91-94

Publication Date: June 15, 2000

DOI: 10.1214/ECP.v5-1023

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