Petersen, Karl Ergodic theory. (English) Zbl 0507.28010 Cambridge Studies in Advanced Mathematics, 2. Cambridge etc.: Cambridge University Press. XI, 329 p. £22.50 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 222 Documents MSC: 28Dxx Measure-theoretic ergodic theory 28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration 54H20 Topological dynamics (MSC2010) Keywords:ergodicity; Birkhoff’s theorem; weak and strong mixing; convergence almost everywhere; Hopf’s maximal ergodic theorem; maximal equalities for flows; ergodic Hilbert transforms; Chacon-Ornstein-theorem; recurrence; eigenfunctions of measure-preserving transformations; fixed point theorems of Kakutani and of Ryll-Nardzewski; entropy; finitary isomorphy of Bernoulli shifts PDFBibTeX XML