Invariant densities for random continued fractions
DOI10.1016/j.jmaa.2022.126163zbMath1496.37054arXiv2110.05786OpenAlexW4220978394MaRDI QIDQ2122187
Evgeny Verbitskiy, Charlene Kalle, Masato Tsujii, Valentin Matache
Publication date: 6 April 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.05786
Dynamical aspects of measure-preserving transformations (37A05) Continued fractions (11A55) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Relations between ergodic theory and number theory (37A44) Random iteration (37H12)
Related Items (4)
Cites Work
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- \(C^m\) positive eigenvectors for linear operators arising in the computation of Hausdorff dimension
- Local dimensions for the random \(\beta \)-transformation
- Boundedness, compactness and Schatten-class membership of weighted composition operators
- On the thermodynamic formalism for the Gauss map
- Invariant densities for random \(\beta\)-expansions
- Random \(\beta\)-expansions with deleted digits
- On the relaxation time of Gauss' continued-fraction map. I: The Hilbert space approach (Koopmanism)
- On the relaxation time of Gauss' continued-fraction map. II: The Banach space approach (Transfer operator method)
- On the essential spectrum of the transfer operator for expanding Markov maps
- Zeta-functions for expanding maps and Anosov flows
- Intermittency and regularized Fredholm determinants
- Measures of maximal entropy for random \(\beta\)-expansions
- Linear response for random dynamical systems
- On the invariant density of the random \(\beta\)-transformation
- Quasi-positive operators
- Invariant measures for position dependent random maps with continuous random parameters
- On the Ruelle eigenvalue sequence
- The Curious History of Faa di Bruno's Formula
- On Transfer Operators for Continued Fractions with Restricted Digits
- Random \beta-expansions
- Almost Every Number Has a Continuum of b-Expansions
- On the spectrum of Farey and Gauss maps
- On the regularity and approximation of invariant densities for random continued fractions
- Weighted composition operators on the Hilbert Hardy space of a half-plane
- The random continued fraction transformation
- The radius of the essential spectrum
- Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness
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