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Subdiagrams of Bratteli diagrams supporting finite invariant measures

Dynamical Systems 2014-03-26 v2

Abstract

We study finite measures on Bratteli diagrams invariant with respect to the tail equivalence relation. Amongst the proved results on finiteness of measure extension, we characterize the vertices of a Bratteli diagram that support an ergodic finite invariant measure.

Keywords

Cite

@article{arxiv.1311.3266,
  title  = {Subdiagrams of Bratteli diagrams supporting finite invariant measures},
  author = {S. Bezuglyi and O. Karpel and J. Kwiatkowski},
  journal= {arXiv preprint arXiv:1311.3266},
  year   = {2014}
}

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9 pages