Abstract
There are two classical approaches to the theory of Brownian excursions. The first one goes back to Lévy. His ideas were worked out in greater detail and extended by Itô and McKean (see [4], [5], and [9]). Also Chung’s and Knight’s contributions are of great importance (see [1], [7], and [8]). In this approach the lengths of the excursions are the basic objects. In the second approach, due to Williams (see [12], [14], and [15]), one works with excursions having a given maximum. In both approaches Itô’s theory of excursions (see [3]) plays an active part (see [5], and [12]).
Research sponsored by Magnus Ehnrooth Foundation, Finland, and by the Air Force Office of Scientific Research, under grant number AFOSR-82-0189.
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Salminen, P. (1984). Brownian Excursions Revisited. In: Çinlar, E., Chung, K.L., Getoor, R.K. (eds) Seminar on Stochastic Processes, 1983. Progress in Probability and Statistics, vol 7. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-9169-2_11
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