Entropy of some homeomorphisms constructed from Bratteli diagrams

Chun-Yen Chou, Purdue University

Abstract

If a simple (ordered) Bratteli diagram can be contracted so that, from some level on, the number of vertices at a level is bounded by some constant and the incidence matrix has constant row sums, then for any positive number N, there is a strongly orbit equivalent simple ordered Bratteli diagram with entropy at least N.

Degree

Ph.D.

Advisors

Brown, Purdue University.

Subject Area

Mathematics

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