Almost block independence for the three dot ℤ2 dynamical system
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Ward, Thomas B. (1991) Almost block independence for the three dot ℤ2 dynamical system. Israel Journal of Mathematics, 76 (1-2). pp. 237-256. ISSN 0021-2172
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Abstract
We show that the measure preserving action of Z2 dual to the action defined by the commuting automorphisms ×x and ×y on the discrete group Z[x±1,y±1]/á1+x+yñZ[x±1,y±1] is measurably isomorphic to a Z2 Bernoulli shift. This was conjectured in recent work by Lind, Schmidt and the author, where it was shown that this action has completely positive entropy. An example is given of Z2 actions which are measursbly isomorphic without being topologically conjugate.
Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | Vishal Gautam |
Date Deposited: | 18 Mar 2011 14:48 |
Last Modified: | 21 Jul 2020 23:47 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/18592 |
DOI: | 10.1007/BF02782855 |
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