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Denker, Manfred; Keane, Michael

Almost topological dynamical systems. (English) Zbl 0441.28008

Isr. J. Math. 34, 139-160 (1979).
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Cited in 1 Review
Cited in 19 Documents

MSC:

28D05 Measure-preserving transformations
54H20 Topological dynamics (MSC2010)
28D10 One-parameter continuous families of measure-preserving transformations

Keywords:

almost topological dynamical systems; measure theoretic dynamical system; full measure; finitary isomorphism; Meshalkin’s coding; Bernoulli shifts; entropy; shift dynamical system; central limit theorem; interpretation of physical measurements of classical dynamical systems

Citations:

Zbl 0405.28017
Cite Review PDF
Full Text: DOI

References:

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[8] Bowen, R., Smooth partitions of Anosov diffeomorphisms are weak Bernoulli, Israel J. Math., 21, 95-100 (1975) · Zbl 0315.58020 · doi:10.1007/BF02760788
[9] M. Denker, C. Grillenberger and K. Sigmund,Ergodic theory on compact spaces, Lecture Notes in Math.527, Springer Verlag, 1976. · Zbl 0328.28008
[10] Denker, M., Generators and almost topological isomorphisms, Astérisque, 49, 23-36 (1977) · Zbl 0384.28013
[11] M. Denker,Almost topological representation theorems for dynamical systems, to appear in Monatsh. Math. (1979). · Zbl 0405.54033
[12] Gordin, M. I., The central limit theorem for stationary processes, Dokl. Akad. Nauk SSSR, 10, 5, 1174-1176 (1969) · Zbl 0212.50005
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[16] Jewett, R. I., The prevalence of uniquely ergodic systems, J. Math. Mech., 19, 717-729 (1970) · Zbl 0192.40601
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[18] M. Keane,Coding problems in ergodic theory, Proc. Int. Conf. on Math. Physics 1974, Camerino, Italy.
[19] Keane, M., Interval exchange transformations, Math. Z., 141, 25-31 (1975) · Zbl 0278.28010 · doi:10.1007/BF01236981
[20] Keane, M.; Smorodinsky, M., A class of finitary codes, Israel J. Math., 26, 352-371 (1977) · Zbl 0357.94012 · doi:10.1007/BF03007652
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[23] Krieger, W., On unique ergodicity, 327-346 (1972), Berkeley: Univ. of California Press, Berkeley · Zbl 0262.28013
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