Skip Navigation

Journal of the London Mathematical Society 2004 69(3):693-706; doi:10.1112/S0024610703005064
© 2004 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Robinson, E. A.
Right arrow Articles by Sahin, A. A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

On the Existence of Markov Partitions for Zd Actions

E. Arthur Robinson, Jr and Ayse A. Sahin

Department of Mathematics, George Washington University Washington DC 20052, USA, robinson{at}gwu.edu
Department of Mathematical Sciences, DePaul University 2320 North Kenmore Avenue, Chicago, IL 60614-7807, USA, asahin{at}condor.depaul.edu

Received 27 September 2002. Revision received 4 July 2003.

The theory of higher-dimensional shifts of finite type is still largely an open area of investigation. Recent years have seen much activity, but fundamental questions remain unanswered. In this paper we consider the following basic question. Given a shift of finite type (SFT), under what topological mixing conditions are we guaranteed the existence of Bernoulli (or even K, mixing, or weakly mixing) invariant measures?


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.