On the metrical theory of continued fraction mixing fibred systems and its application to Jacobi-Perron algorithm

DOI10.1007/S00605-002-0473-4zbMath1026.11066OpenAlexW2033969974MaRDI QIDQ1404219

Hitoshi Nakada, Rie Natsui

Publication date: 20 August 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0473-4

zbMATH Keywords

strong law of large numbersstochastic processesJacobi-Perron algorithmmetric theory of continued fractionscontinued fraction mixingfibred system

Mathematics Subject Classification ID

Strong limit theorems (60F15) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Related Items (13)

Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ On the ergodic theory of maps associated with the nearest integer complex continued fractions over imaginary quadratic fields ⋮ Level sets of partial maximal digits for Lüroth expansion ⋮ A NOTE ON THE RELATIVE GROWTH RATE OF THE MAXIMAL DIGITS IN LÜROTH EXPANSIONS ⋮ A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs ⋮ Continued fractions, the Chen–Stein method and extreme value theory ⋮ Some remarks on the generalized St. Petersburg games and formal Laurent series expansions ⋮ On the construction of the natural extension of the Hurwitz complex continued fraction map ⋮ Quantitative ergodic theorems for weakly integrable functions ⋮ Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean ⋮ On the existence of a Darling-Kac set for the renormalized Rauzy map ⋮ A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings ⋮ ON THE LARGEST PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS

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