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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A spurious Brownian motion


Author: Clyde D. Hardin
Journal: Proc. Amer. Math. Soc. 93 (1985), 350
MSC: Primary 60J65; Secondary 60G15
MathSciNet review: 770552
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Abstract: There exists an $ {{\mathbf{R}}^d}$-valued mean-zero Gaussian process, all of whose projections agree with the projections of standard Brownian motion, yet which is not standard Brownian motion.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0770552-2
PII: S 0002-9939(1985)0770552-2
Keywords: Brownian motion, projection
Article copyright: © Copyright 1985 American Mathematical Society