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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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