On nearest continued fractions with stochastically independent and identically distributed digits (Q1076069)

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scientific article; zbMATH DE number 3952884
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On nearest continued fractions with stochastically independent and identically distributed digits
scientific article; zbMATH DE number 3952884

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    On nearest continued fractions with stochastically independent and identically distributed digits (English)
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    1986
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    Every real number \(\in [-,]\) has a nearest continued fraction expansion. The digits are dependent random variables with respect to Lebesgue measure. However, there are other measures on the Borel sets of [- \[ , \] ], with respect to which the digits are independent and identically distributed. The author constructs such measures.
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    probability measures
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    measures ensuring independent digits
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    nearest continued fraction expansion
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