Random \(N\)-continued fraction expansions
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Publication:1697437
DOI10.1016/j.jat.2017.11.003zbMath1395.11112OpenAlexW2563770607MaRDI QIDQ1697437
Publication date: 20 February 2018
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2017.11.003
Measure-preserving transformations (28D05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Metric theory of continued fractions (11K50)
Related Items (12)
Random Lochs’ Theorem ⋮ METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS ⋮ Distribution of cycles for one-dimensional random dynamical systems ⋮ Random \(N\)-continued fraction expansions ⋮ Alternating $N$-expansions ⋮ Multiplication on uniform λ-Cantor sets ⋮ MULTIPLE REPRESENTATIONS OF REAL NUMBERS ON SELF-SIMILAR SETS WITH OVERLAPS ⋮ Linear response for random dynamical systems ⋮ Arithmetic representations of real numbers in terms of self-similar sets ⋮ On the regularity and approximation of invariant densities for random continued fractions ⋮ Matching for random systems with an application to minimal weight expansions ⋮ On the \(r\)-continued fraction expansions of reals
Cites Work
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- A generalization of continued fractions
- Ergodicity of \(N\)-continued fraction expansions
- Random \(N\)-continued fraction expansions
- The Möbius function and the residue theorem
- Measures of maximal entropy for random \(\beta\)-expansions
- Annealed and quenched limit theorems for random expanding dynamical systems
- Shrinking the period lengths of continued fractions while still capturing convergents
- Invariant measures for position dependent random maps with continuous random parameters
- The random continued fraction transformation
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