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Rectangle exchange transformations. (English) Zbl 0448.47004


MSC:

47A35 Ergodic theory of linear operators
28D05 Measure-preserving transformations
54H20 Topological dynamics (MSC2010)
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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
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