Kłopotowski, A.; Nadkarni, M. G. Shift invariant measures and simple spectrum. (English) Zbl 0965.60003 Colloq. Math. 84-85, Pt. 2, 385-394 (2000). Summary: We consider some descriptive properties of supports of shift invariant measures on \(\mathbb{C}^\mathbb{Z}\) under the assumption that the closed linear span (in \(L^2)\) of the coordinate functions on \(\mathbb{C}^\mathbb{Z}\) is all of \(L^2\). Cited in 6 Documents MSC: 60A05 Axioms; other general questions in probability 47A35 Ergodic theory of linear operators 28D05 Measure-preserving transformations Keywords:shift; simple spectrum; good set; linked component; good measure PDFBibTeX XMLCite \textit{A. Kłopotowski} and \textit{M. G. Nadkarni}, Colloq. Math. 84--85, Part 2, 385--394 (2000; Zbl 0965.60003) Full Text: DOI EuDML