Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions

DOI10.1090/tran/9022arXiv2108.06780OpenAlexW4386279639MaRDI QIDQ6051566

Publication date: 20 October 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.06780

Mathematics Subject Classification ID

Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
The Hausdorff dimensions of some continued fraction Cantor sets
The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms
On real quadratic fields and periodic expansions
Approach to equilibrium for locally expanding maps in \({\mathbb{R}}^ k\)
Some skew product transformations associated with continued fractions and their invariant measures
Approximations of real numbers by the sequence \(\{\) n\(\alpha\) \(\}\) and their metrical theory
Hausdorff dimension of quasi-circles
Continued fraction Cantor sets, Hausdorff dimension, and functional analysis
On inhomogeneous diophantine approximation
A temporal central limit theorem for real-valued cocycles over rotations
Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of \(E_{2}\)
Euclidean algorithms are Gaussian
Perturbation theory for linear operators.
On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
Über \(\displaystyle{\lim_{x\to +\infty}} x|\vartheta x+\alpha - y|\)
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
On the Hausdorff dimension of the Rauzy gasket
Sur la répartition des sommets d'une ligne polygonale régulière non fermée
On the theory of diophantine approximations. II (inhomogeneous problems)
Lower bounds on the dimension of the Rauzy gasket
Hausdorff dimension of real numbers with bounded digit averages
ON SHRINKING TARGETS FOR ℤ ^m ACTIONS ON TORI
The shrinking target property of irrational rotations
On Khintchine exponents and Lyapunov exponents of continued fractions
On Transfer Operators for Continued Fractions with Restricted Digits
Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
Fractions continues multidimensionnelles et lois stables
Hausdorff Dimension in Inhomogeneous Diophantine Approximation
Dirichlet Uniformly Well-approximated Numbers
Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation
Dimension Bound for Badly Approximable Grids
Symbolic Dynamics II. Sturmian Trajectories
Interval exchange transformations
On the numeration system of Ostrowski
The scenery flow for geometric structures on the torus: The linear setting

This page was built for publication: Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions