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Publication:3778818
zbMath0638.10034MaRDI QIDQ3778818
Publication date: 1987
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
surveyalgorithmapproximation coefficientsfastest expansioninfinite semi-regular continued fractionoptimal continued fractionoptimal convergents
Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)
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Maximal $S$-expansions are Bernoulli shifts ⋮ Statistic and ergodic properties of Minkowski's diagonal continued fraction ⋮ Three consecutive approximation coefficients: asymptotic frequencies in semi-regular cases ⋮ Optimal continued fractions and the moving average ergodic theorem ⋮ Natural extensions for Nakada's \(\alpha\)-expansions: descending from \(1\) to \(g^2\) ⋮ Metrical theory for optimal continued fractions ⋮ On the relationship between the Bruno function and the breakdown of invariant tori ⋮ \(S\)-expansions in dimension two ⋮ Time reversed $S$-expansions ⋮ Continued fractions and Brjuno functions ⋮ On a theorem of Davenport and Schmidt ⋮ A Gauss-Kusmin theorem for optimal continued fractions
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