Document Zbl 0954.60059

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Fitzsimmons, P. J.

Strict fine maxima. (English) Zbl 0954.60059

Electron. Commun. Probab. 5, 91-94 (2000).

Summary: We provide a simple probabilistic proof of a result of J. Král and I. Netuka [Expo. Math. 5, 185-191 (1987; Zbl 0657.31009)]: If \(f\) is a measurable real-valued function on \({\mathbb{R}}^d\) \((d\geq 2)\), then the set of points at which \(f\) has a strict fine local maximum value is polar.

MSC:

60J45	Probabilistic potential theory
31C15	Potentials and capacities on other spaces
60J65	Brownian motion

Keywords:

Brownian motion; fine topology; local maxima; optional projection

Citations:

Zbl 0657.31009

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