An example of a measure preserving map with minimal self-joinings, and applications. (English) Zbl 0446.28018


28D05 Measure-preserving transformations
Full Text: DOI


[1] A. del Junko,A simple measure-preserving transformation with trivial centralizer, preprint.
[2] H. Furstenberg,Dispointness in ergodic theory, minimal sets and a problem in diophantine approximation, Math. System Theory1 (1967), 1–49. · Zbl 0146.28502
[3] D. S. Ornstein, On the root problem in ergodic theory, Proc. Sixth Berkeley Symp. Math. Stat. Prob., Vol. II, University of California Press, 1967, pp. 347–356.
[4] S. Polit,Weakly Isomorphic Maps Need Not Be Isomorphic, Ph.D. dissertation, Stanford, 1974.
[5] D. J. Rudolph, Nonequivalence of Measure Preserving Transformations, Lecture Notes, Institute for Advanced Studies, Hebrew University of Jerusalem, 1975.
[6] D. J. Rudolph,Two nonisomorphic K-automorphisms all of whose powers beyond one are isomorphic, Israel J. Math.27 (1977), 277–298. · Zbl 0358.28008
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.