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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on Lévy’s Brownian process on the Hilbert sphere
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by Peggy Tang Strait
Proc. Amer. Math. Soc. 33 (1972), 207-209
DOI: https://doi.org/10.1090/S0002-9939-1972-0290465-3
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Abstract:

Let $X(t)$, t in ${l_2}$, be Lévy’s separable Brownian process. Let S be the unit Hilbert sphere. It is shown that with probability 1, the image of $X(t),t \in S$, is the entire real line.
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 207-209
  • MSC: Primary 60.62
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0290465-3
  • MathSciNet review: 0290465