SOME STRONG MIXING PROPERTIES OF A SEQUENCE OF RANDOM VARIABLES ARISING FROM α-CONTINUED FRACTIONS

DOI10.1142/S0219493703000802zbMath1056.37001OpenAlexW2084626709MaRDI QIDQ4467390

Rie Natsui, Hitoshi Nakada

Publication date: 9 June 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493703000802

zbMATH Keywords

random variablesinvariant measurecontinued fractionsmixing properties

Mathematics Subject Classification ID

Related Items (4)

On the ergodic theory of Tanaka-Ito type \(\alpha \)-continued fractions ⋮ On the Legendre constant of \(\alpha \)-continued fractions ⋮ WEAK CONVERGENCE TO LÉVY STABLE PROCESSES IN DYNAMICAL SYSTEMS ⋮ On the mixing coefficients of piecewise monotonic maps

Cites Work

• Estimates for partial sums of continued fraction partial quotients
• Metrical theory for a class of continued fraction transformations and their natural extensions
• Examples of mixing sequences
• Ein Gauss-Kusmin-Levy-Satz für Kettenbrüche nach nächsten Ganzen
• Bernoulli maps of the interval
• Some metric properties of \(\alpha\)-continued fractions.
• β-automorphisms are Bernoulli shifts
• Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ-mixing Random Variables with an Application to Metric Theory of Continued Fractions
• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• On normal numbers for continued fractions

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