Minimal Interval Exchange Transformations with Many Ergodic Measures

Minimal Interval Exchange Transformations with Many Ergodic Measures

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Jon Fickenscher, Princeton University

We will give a brief survey of interval exchange transformations, especially results on minimality and unique ergodicity. In particular, we shall prove that a known upper bound on the number distinct ergodic probability measures for a minimal IETs is sharp. This is a generalization of known examples for IETs with order-reversing permutations.