Results 201 to 210 of about 46,876 (239)

The under-ice habitat constitutes a critical survival hub for zooplankton in the Central Arctic Ocean

Cornils A, Flores H, Wermeyer K, Anhaus P, Ashjian C, Campbell R, Castellani G, Gelfman C, Hildebrandt N, Hoppe C, Katlein C, Knüppel N, Sakinan S, Schaafsma F, Schmidt K, Shoemaker K, Vortkamp M, ECO I&OMT, Niehoff B.   +18 more
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Recent Advances in the Metric Theory of Continued Fractions

1978
This is a survey of recent results in the metric theory of continued fractions concerning Gauss-Kuzmin-Levy theorem and extreme value theory.
M. Iosifescu
semanticscholar   +4 more sources

Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ‐mixing Random Variables with an Application to Metric Theory of Continued Fractions

Mathematische Nachrichten, 1987
This paper gives a method for proving of estimates of the difference between the distribution function (df) of a sum \(X_ 1+...+X_ n\) of \(\psi\)-mixing rv's (with \(\psi\) (s)\(\leq Ce^{-\alpha s})\) and a stable df with exponent less than 2. This method is based on the derivation and solution of a formal differential equation (in \(u\in [0,1])\) for
Lothar Heinrich
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METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS

Fractals, 2022
On analogy of the regular continued fractions, for any fixed positive integer [Formula: see text], every [Formula: see text] can be expanded into an [Formula: see text]-continued fraction, denoted by [Formula: see text], where [Formula: see text] are called the partial quotients.
JINFENG WANG, YUAN ZHANG
openaire   +2 more sources

Continued fraction expansions in connection with the metric Mahler measure

Monatshefte Fur Mathematik, 2016
The metric Mahler measure was first studied by Dubickas and Smyth in 2001 as a means of phrasing Lehmer’s conjecture in topological language. More recent work of the author examined a parametrized family of generalized metric Mahler measures that gives ...
C. Samuels
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Metric theory of continued fractions

2014
J. Borwein, A. Poorten, J. Shallit, W. Zudilin   +3 more
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Sets of Dirichlet non-improvable numbers with certain order in the theory of continued fractions

Nonlinearity, 2021
Let [a 1(x), a 2(x), …, a n (x), …] be the continued fraction expansion of x ∈ [0, 1) and q n (x) be the denominator of the nth convergent. The study of relative growth rate of the product of partial quotients a n+1(x)a n (x) compared with q n (x ...
Jing Feng, Jian Xu
semanticscholar   +1 more source

Periods of Continued Fractions and Volumes of Modular Knots Complements

Journal of knot theory and its ramifications, 2020
Every oriented closed geodesic on the modular surface has a canonically associated knot in its unit tangent bundle coming from the periodic orbit of the geodesic flow.
José Andrés Rodríguez‐Migueles
semanticscholar   +1 more source

A Note on The Metrical Theory of Continued Fractions

The American Mathematical Monthly, 2000
(2000). A Note on The Metrical Theory of Continued Fractions. The American Mathematical Monthly: Vol. 107, No. 9, pp. 834-837.
Glyn Harman, Kam C. Wong
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A survey of the metric theory of continued fractions, fifty years after Doeblin's 1940 paper

1990
openaire   +3 more sources