The random continued fraction transformation
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Publication:5346742
DOI10.1088/1361-6544/aa5243zbMath1384.37013arXiv1507.05782OpenAlexW2182928405MaRDI QIDQ5346742
Tom Kempton, Evgeny Verbitskiy, Charlene Kalle
Publication date: 29 May 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.05782
Dynamical systems and their relations with probability theory and stochastic processes (37A50) Generation, random and stochastic difference and differential equations (37H10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Metric theory of continued fractions (11K50)
Related Items (11)
Invariant densities for random continued fractions ⋮ Random Lochs’ Theorem ⋮ Critical intermittency in random interval maps ⋮ Decay of correlations for critically intermittent systems ⋮ Distribution of cycles for one-dimensional random dynamical systems ⋮ Random \(N\)-continued fraction expansions ⋮ Thermodynamic formalism for random weighted covering systems ⋮ Linear response for random dynamical systems ⋮ Large deviation principle for the backward continued fraction expansion ⋮ On the regularity and approximation of invariant densities for random continued fractions ⋮ Matching for random systems with an application to minimal weight expansions
Cites Work
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- Counting \(\beta \)-expansions and the absolute continuity of Bernoulli convolutions
- Local dimensions for the random \(\beta \)-transformation
- Invariant densities for random \(\beta\)-expansions
- Hitting times and periodicity in random dynamics
- A rigorous version of R. P. Brent's model for the binary Euclidean algorithm
- Natural extensions for \(\alpha \)-Rosen continued fractions
- Metrical theory for \(\alpha \)-Rosen fractions
- Random iteration of one-dimensional transformations
- On the relaxation time of Gauss' continued-fraction map. I: The Hilbert space approach (Koopmanism)
- Metrical theory for a class of continued fraction transformations and their natural extensions
- Real numbers with bounded partial quotients: A survey
- Measures of maximal entropy for random \(\beta\)-expansions
- Absolutely continuous invariant measures for random maps with position dependent probabilities
- Spectral analysis for the Gauss problem on continued fractions
- Annealed and quenched limit theorems for random expanding dynamical systems
- On the invariant density of the random \(\beta\)-transformation
- Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions
- Decay of correlation for random intermittent maps
- Natural extensions and entropy ofα-continued fractions
- Invariant measures for position dependent random maps with continuous random parameters
- Invariant Densities for Random Maps of the Interval
- On Transfer Operators for Continued Fractions with Restricted Digits
- 'The mother of all continued fractions'
- Invariant Measures and Natural Extensions
- Position dependent random maps in one and higher dimensions
- Tuning and plateaux for the entropy ofα-continued fractions
- An exact convergence rate in a Gauss-Kuzmin-Lévy problem for some continued fraction expansion
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