Haller, Hans Rectangle exchange transformations. (English) Zbl 0448.47004 Monatsh. Math. 91, 215-232 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 15 Documents MSC: 47A35 Ergodic theory of linear operators 28D05 Measure-preserving transformations 54H20 Topological dynamics (MSC2010) Keywords:rectangle exchange transformations PDFBibTeX XMLCite \textit{H. Haller}, Monatsh. Math. 91, 215--232 (1981; Zbl 0448.47004) Full Text: DOI EuDML References: [1] Cassels, J. W.: An Introduction to Diophantine Approximation. Cambridge: University Press. 1957. · Zbl 0077.04801 [2] Conze, J.-P.: Equirépartition et ergodicité de transformations cylindriques. Séminaire de Probabilités. Rennes: 1976. [3] Kakutani, S.: Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing. In: Recent Advances in Topological Dynamics, pp. 143-149. Ed. byA. Beck. Lect. Notes Math. 318. Berlin-Heidelberg-New York: Springer. 1973. · Zbl 0267.28008 [4] Keane, M.: Interval exchange transformations. Math. Z.141, 25-31 (1975). · Zbl 0288.28020 · doi:10.1007/BF01236981 [5] Keane, M.: Non-ergodic interval exchange transformations. Isr. J. Math.26, 188-196 (1977). · Zbl 0351.28012 · doi:10.1007/BF03007668 [6] Keane, M., Rauzy, G.: Stricte ergodicité des échanges d’intervalles. Preprint. · Zbl 0479.28012 [7] Khintchine, A.: Kettenbrüche. Leipzig: Teubner. 1956. · Zbl 0071.03601 [8] Veech, W. A.: Interval exchange transformations. Journal d’Analyse Mathématique33, 222-272 (1978). · Zbl 0455.28006 · doi:10.1007/BF02790174 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.