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Limit laws for local times of the Brownian sheet

✍ Scribed by Michael T. Lacey

Publisher: Springer
Year: 1990
Tongue: English
Weight: 826 KB
Volume: 86
Category: Article
ISSN: 1432-2064
DOI: 10.1007/bf01207514

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Let {W(t), 0~<t < oo} be a standard Brownian motion and let {L(x,t), -oo <x <oo, 0~<t < oe} be its local time process. We establish large deviations for {L(x,t),O<~t < oe} for any fixed x and for {sup ...... L(x,t), O<~t < ~}. Then, using these, we get some results on Strassen's law for these proce