Some dual statements concerning Wiener measure and Baire category
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- by K. Simon PDF
- Proc. Amer. Math. Soc. 106 (1989), 455-463 Request permission
Abstract:
This paper deals with the duality between Wiener measure and Baire category on $C_0^1$, the set of continuous functions $f:[0,1] \to [0,1]$ 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.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- 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