First explicit non-uniquely ergodic FIET with three invariant ergodic measures, obtained by generalizing Keane's construction via Rauzy induction adapted to flips.
Oseledets The spectrum of ergodic automorphisms Doklady Akademii Nauk SSSR 168 (1968)
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Existence of a Non-Uniquely Ergodic Interval Exchange Transformation with Flips Possessing Three Invariant Measures
First explicit non-uniquely ergodic FIET with three invariant ergodic measures, obtained by generalizing Keane's construction via Rauzy induction adapted to flips.