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.
ASJC Scopus subject areas
- Applied Mathematics