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ON THE EXISTENCE OF MARKOV PARTITIONS FOR ${\mathbb Z}^{\lowercase{d}}$ ACTIONS

  • E. ARTHUR ROBINSON JR (a1) and AYŞE A. ŞAHİN (a2)
Abstract

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?

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Journal of the London Mathematical Society
  • ISSN: 0024-6107
  • EISSN: 1469-7750
  • URL: /core/journals/journal-of-the-london-mathematical-society
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