Almost block independence for the three dot ℤ2 dynamical system

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

Preview	PDF (abi.pdf) - Accepted Version Download (289kB) | Preview
Preview	Image (JPEG) (3.jpg) Download (125kB) | Preview

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
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	28 Jun 2025 00:17
URI:	https://ueaeprints.uea.ac.uk/id/eprint/18592
DOI:	10.1007/BF02782855

Downloads

Actions (login required)

View Item