×

Classifying the isometric extensions of a Bernoulli shift. (English) Zbl 0415.28012


MSC:

28D05 Measure-preserving transformations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Furstenberg, H., Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions, J. Analyse Math., 31, 204-265 (1977) · Zbl 0347.28016 · doi:10.1007/BF02813304
[2] Lind, D. A., The structure of skew products with ergodic group automorphisms, Israel, J. Math., 28, 205-248 (1977) · Zbl 0365.28015 · doi:10.1007/BF02759810
[3] Lind, D. A., Split skew products, a related functional equation and specification, Israel J. Math., 30, 236-254 (1978) · Zbl 0378.28007 · doi:10.1007/BF02761073
[4] Lind, D. A., Ergodic affine transformations are loosely Bernoulli, Israel J. Math., 30, 335-338 (1978) · Zbl 0378.28006 · doi:10.1007/BF02761998
[5] Rudolph, D., It a two-point extension of a Bernoulli shift has an ergodic square, then it is Bernoulli, Israel J. Math., 30, 159-180 (1978) · Zbl 0415.28010
[6] Rudolph, D., If a finite extension of a Bernoulli shift has no finite rotation factors, then it is Bernoulli, Israel J. Math., 30, 193-206 (1978) · Zbl 0415.28011 · doi:10.1007/BF02761070
[7] Rudolph, D., Counting the relatively finite factors of a Bernoulli shift, Israel J. Math., 30, 255-263 (1978) · Zbl 0378.28004 · doi:10.1007/BF02761074
[8] D. Rudolph,An isomorphism theory for Bernoulli free Z-skew-compact group actions, submitted. · Zbl 0547.28013
[9] Thomas, R. K., The addition theorem for the entropy of transformations of G-spaces, Trans. Amer. Math. Soc., 160, 119-130 (1971) · Zbl 0232.28015 · doi:10.2307/1995794
[10] Thouvenout, J.-P., Quelques propriétés des systèmes dynamiques qui se décomposent en un produit de deux systèmes dont l’un est un schéma de Bernoulli, Israel J. Math., 21, 177-207 (1975) · Zbl 0329.28008 · doi:10.1007/BF02760797
[11] Thouvenout, J.-P., On the stability of the weak Pinsker property, Israel J. Math., 27, 150-162 (1977) · Zbl 0366.28007 · doi:10.1007/BF02761664
[12] B. Weiss,Equivalence of Measure Preserving Transformations, Lecture Notes, Institute for Advanced Studies, Hebrew University of Jerusalem, 1976.
[13] R. Zimmer,Ergodic actions with generalized discrete spectrum, to appear. · Zbl 0349.28011
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.