Some dual statements concerning wiener measure and baire category

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper deals with the duality between Wiener measure and Baire category on c1 0, the set of continuous functions f:[0, 1] → [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.

Original languageEnglish
Pages (from-to)455-463
Number of pages9
JournalProceedings of the American Mathematical Society
Volume106
Issue number2
DOIs
Publication statusPublished - 1989

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Wiener Measure
Baire Category
Continuous Function
Residual Set
Periodic Points
Supremum
Level Set
Duality
Norm

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Some dual statements concerning wiener measure and baire category. / Simon, K.

In: Proceedings of the American Mathematical Society, Vol. 106, No. 2, 1989, p. 455-463.

Research output: Contribution to journalArticle

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