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arXiv 2013-08-23 0 views

Excursions Above the Minimum for Diffusions

Fitzsimmons, P. J.

Original · EN

We demonstrate the existence of a "Lévy system" for the excursions of a one-dimensional diffusion process above its past-minimum process. As applications we provide a direct proof of D. Williams' decomposition (in both a global and a local form) and of a theorem of W. Vervaat.

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