Veech, William A. Interval exchange transformations. (English) Zbl 0455.28006 J. Anal. Math. 33, 222-272 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 103 Documents MSC: 28D05 Measure-preserving transformations 54H20 Topological dynamics (MSC2010) Keywords:interval exchange transformations × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bourbaki, N., Algèbre (1959), Paris: Hermann, Paris · Zbl 0102.25503 [2] Friedman, N. A., Introduction to Ergodic Theory (1970), New York: Van Nostrand-Rheinhold, New York · Zbl 0212.40004 [3] H. Furstenberg,Stationary Processes and Prediction theory, Annals of Math. Studies, Princeton, 1960. · Zbl 0178.53002 [4] Hajian, A.; Kakutani, S., Weakly wandering sets and invariant measures, Trans. Amer. Math. Soc., 110, 136-151 (1964) · Zbl 0122.29804 · doi:10.2307/1993640 [5] P. R. Halmos,Lectures on Ergodic Theory, Math. Soc. of Japan, 1956. · Zbl 0073.09302 [6] Hardy, G. H.; Wright, E. M., An Introduction to the Theory of Numbers (1938), Oxford: Clarendon Press, Oxford · Zbl 0020.29201 [7] Kakutani, S., Induced measure preserving transformations, Proc. Imp. Acad. Tokyo, 19, 635-641 (1943) · Zbl 0060.27406 [8] Keane, M., Interval exchange transformations, Math. Z., 141, 25-31 (1975) · Zbl 0278.28010 · doi:10.1007/BF01236981 [9] Keane, M., Non-ergodic interval exchange transformations, Israel J. Math., 26, 188-196 (1977) · Zbl 0351.28012 · doi:10.1007/BF03007668 [10] C. Boldrighini, M. Keane and F. Marchetti,Billiards in polygons, preprint, 1977. · Zbl 0377.28014 [11] Keynes, H.; Newton, D., A minimal non-uniquely ergodic interval exchange transformation, Math. Z., 148, 101-105 (1976) · Zbl 0308.28014 · doi:10.1007/BF01214699 [12] Rohlin, V. A., Exact endomorphisms of a Lebesgue space, Amer. Math. Soc. Transl., 49, 2, 171-240 (1966) · Zbl 0185.21802 [13] Ya. G. Sinai,Introduction to Ergodic Theory, Princeton Lecture Notes Series, Princeton University Press, 1977. · Zbl 0375.28011 [14] Veech, W. A., A Second Course in Complex Analysis (1967), New York: Benjamin, New York · Zbl 0145.29901 [15] W. A. Veech,Topological dynamics, to appear in Bull. Amer. Math. Soc. · Zbl 0384.28018 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.