Results 211 to 220 of about 46,876 (239)

On the Metrical Theory of Continued Fraction Mixing Fibred Systems and Its Application to Jacobi-Perron Algorithm

Monatshefte f�r Mathematik, 2003
The authors study the metric theory of fibred systems in the case of continued fraction mixing systems. They obtain the limit distribution of the largest value of a continued fraction mixing stationary stochastic process with infinite expectation and some related results. These are analogous to the theorems for the regular continued fractions, obtained
Nakada, Hitoshi, Natsui, Rie
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The Metrical Theory of Prime Divisibility via Continued Fractions

This paper explores the intricate relationship between the metrical properties of continued fractions and the distribution of prime divisors within the partial quotients. We investigate how the statistical behavior of continued fraction expansions, typically studied through ergodic theory and measure theory, can shed light on the occurrence and ...
Revista, Zen, MATH, 10
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Application of dependence with complete connections to the metrical theory of G-continued fractions. Dependence with complete connections

Lithuanian Mathematical Journal, 1987
Every irrational x in the interval [G-2, G], with \(G=(1+\sqrt{5})/2\), has a continued fraction expansion of the form \(x=\epsilon_ 1/(\alpha_ 1+\epsilon_ 2/(\alpha_ 2+...\), where \(\epsilon_ j\) is either -1 or \(+1\), and each digit \(\alpha_ j\) is an odd positive integer.
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Haas Molnar Continued Fractions and Metric Diophantine Approximation

Proceedings of the Steklov Institute of Mathematics, 2017
Liangang Ma, R. Nair
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The distribution of the large partial quotients in continued fraction expansions

Science China Mathematics, 2022
Bo Tan, Chen Tian, Bao-Wei Wang
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On a theorem from the metric theory of continued fractions

1986
Translation from Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk 1981, No.6, 9-12 (Russian) (1981; Zbl 0488.10049).
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Optimal continued fractions and the moving average ergodic theorem

Periodica Mathematica Hungarica, 2013
H. K. Haili, R. Nair
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Metrical Theory of Continued Fractions

2002
Marius Iosifescu, Cor Kraaikamp
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Metric Diophantine Approximation—From Continued Fractions to Fractals

, 2016
S. Kristensen
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Multidimensional Continued Fractions. By Fritz Schweiger. Oxford Science Publications

Ergodic Theory and Dynamical Systems, 2002
A. Nogueira
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