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Rectangle exchange transformations. (English) Zbl 0448.47004
MSC:
47A35Ergodic theory of linear operators
28D05Measure-preserving transformations
54H20Topological dynamics
References:
[1]Cassels, J. W.: An Introduction to Diophantine Approximation. Cambridge: University Press. 1957.
[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.
[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.
[7]Khintchine, A.: Kettenbrüche. Leipzig: Teubner. 1956.
[8]Veech, W. A.: Interval exchange transformations. Journal d’Analyse Mathématique33, 222-272 (1978). · Zbl 0455.28006 · doi:10.1007/BF02790174