Some dual statements concerning Wiener measure and Baire category

Author:
K. Simon

Journal:
Proc. Amer. Math. Soc. **106** (1989), 455-463

MSC:
Primary 26A18; Secondary 26A27, 28C20

DOI:
https://doi.org/10.1090/S0002-9939-1989-0961409-6

MathSciNet review:
961409

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Abstract: This paper deals with the duality between Wiener measure and Baire category on , the set of continuous functions endowed with the supremum norm. We prove that some properties shared by a residual set of continuous functions, e.g. the typical level set structure, and the existence of periodic points of order 3 hold a.e. with respect to the Wiener measure.

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DOI:
https://doi.org/10.1090/S0002-9939-1989-0961409-6

Article copyright:
© Copyright 1989
American Mathematical Society