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An **interval exchange transformation** (IET) is a mathematical concept used in the field of dynamical systems and ergodic theory. It involves a way of rearranging segments of an interval (typically the unit interval \([0, 1]\)) by applying a transformation that is defined by splitting the interval into several subintervals of specific lengths, then permuting those subintervals according to a specific rule.

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  1. Chaotic maps
  2. Dynamical systems
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