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arxiv: 0802.0166 · v1 · submitted 2008-02-01 · 🧮 math.DS

Two versions of a specific natural extension

classification 🧮 math.DS
keywords extensionnaturalbeta-transformationmeasurespecificversionsdeleteddigits
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We give two versions of the natural extension of a specific greedy beta-transformation with deleted digits. We use the natural extension to obtain an explicit expression for the invariant measure, equivalent to the Lebesgue measure, of this beta-transformation.

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