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arxiv: 1105.3633 · v1 · pith:JEPRYG7Vnew · submitted 2011-05-18 · 🧮 math.DS

On the Hausdorff dimensions of a singular ergodic measure for some minimal interval exchange transformations

classification 🧮 math.DS
keywords ergodicexchangeintervalhausdorffminimalsometransformationsappendix
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We show some results about the Hausdorff dimension of particular minimal but not uniquely ergodic interval exchange transformations. There is an appendix which shows that typical points for two different ergodic measures of an interval exchange can approximate each other differently.

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