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Kac’s formula, Levy’s local time and Brownian excursion. (English) Zbl 0551.60086

This paper discusses a variety of results concerning Laplace transforms of distributions of the maximum, the local time, and the area of Brownian excursions. The methods used involve Kac’s formula and Levy’s decomposition of the Brownian path as a Poisson process of excursions.
Reviewer: Wilfrid S.Kendall

MSC:

60J65 Brownian motion
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