Sample Path Behavior for Brownian Motion in Banach Spaces

J. Kuelbs

doi:10.1214/aop/1176996396

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Home > Journals > Ann. Probab. > Volume 3 > Issue 2 > Article

April, 1975 Sample Path Behavior for Brownian Motion in Banach Spaces

J. Kuelbs

Ann. Probab. 3(2): 247-261 (April, 1975). DOI: 10.1214/aop/1176996396

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Abstract

We establish integral tests for upper and lower functions for Brownian motion in Banach spaces of infinite-dimension as well as some related results for Brownian motion in $\mathbb{R}^d$.

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J. Kuelbs. "Sample Path Behavior for Brownian Motion in Banach Spaces." Ann. Probab. 3 (2) 247 - 261, April, 1975. https://doi.org/10.1214/aop/1176996396

Information

Published: April, 1975

First available in Project Euclid: 19 April 2007

zbMATH: 0383.60074

MathSciNet: MR372937

Digital Object Identifier: 10.1214/aop/1176996396

Subjects:

Primary: 60G15

Secondary: 60B05 , 60G17

Keywords: Brownian motion in a Banach space , Gaussian measures , integral tests , Law of the iterated logarithm , measurable norm , upper and lower functions

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