References
P. Billingsley,Ergodic Theory and Information, John Wiley & Sons, Inc., New York, London, Sydney, 1965.
I. P. Cornfeld, S. V. Fanin and Ya. G. Sinai,Ergodic Theory, Springer-Verlag, Berlin, Heidelberg, New York, 1982.
E. M. Coven,Sequences with minimal block growth, Math. Systems Theory8 (1975), 376–382.
E. M. Coven and G. A. Hedlund,Sequence with minimal block growth, Math. Systems Theory7 (1973), 138–153.
H. Furstenberg,Recurrence in Ergodic Theory and Combinatorial Number Theory, Princeton University Press, Princeton, New Jersey, 1981.
A. Katok,Invariant measures of flows on oriented surfaces, Dokl. Nauk. SSR211 (1973), Sov. Math. Dokl.14 (1973), 1104–1108.
M. Keane,Non-ergodic interval exchange transformation, Isr. J. Math.26 (1977), 188–196.
H. Masur,Interval exchange transformations and measured foliations, Ann. of Math.115 (1982), 168–200.
E. M. Paul,Minimal symbolic flows having minimal block growth, Math. Systems Theory8 (1975), 309–315.
W. A. Veech,Interval exchange transformations, J. Analyse Math.33 (1978), 222–272.
W. A. Veech,Gauss measures for transformations on the space of interval exchange maps, Ann. of Math.115 (1982), 201–242.
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Supported in part by NSF-MCS-8219148.
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Boshernitzan, M. A unique ergodicity of minimal symbolic flows with linear block growth. J. Anal. Math. 44, 77–96 (1984). https://doi.org/10.1007/BF02790191
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DOI: https://doi.org/10.1007/BF02790191