Ergodic properties of N-continued fractions
classification
🧮 math.DS
keywords
constantergodicfractionspropertiescontinueddiscussfracgauss
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We discuss some ergodic properties of the generalized Gauss transformation $$T_N(x)=\{\frac{N}{x}\}.$$ We generalize a series of results for the regular continued fractions, such as Khinchin's constant and L\'evy's constant.
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