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arxiv: 1405.0767 · v2 · pith:TKDFZYPInew · submitted 2014-05-05 · 🧮 math.DS · math.GT

The set of uniquely ergodic IETs is path-connected

classification 🧮 math.DS math.GT
keywords ergodicpath-connectedpermutationuniquelyexchangeietsintervalleast
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Let $\pi$ be a non-degenerate permutation on at least $4$ symbols. We show that the set of uniquely ergodic interval exchange transformations with permutation $\pi$ is path-connected.

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