Strict Fine Maxima

P. Fitzsimmons

doi:10.1214/ECP.v5-1023

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Home > Journals > Electron. Commun. Probab. > Volume 5 > Article

2000 Strict Fine Maxima

P. Fitzsimmons

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P. Fitzsimmons¹
¹University of California, San Diego

Electron. Commun. Probab. 5: 91-94 (2000). DOI: 10.1214/ECP.v5-1023

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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 $\mathbb{R}^d$ ($d \gt 1$) then the set of points at which $f$ has a strict fine local maximum value is polar.