Statistical distribution of the Stern sequence
From MaRDI portal
Publication:2421725
DOI10.4171/CMH/460zbMath1453.11031arXiv1704.05253MaRDI QIDQ2421725
Sandro Bettin, Sary Drappeau, Lukas Spiegelhofer
Publication date: 18 June 2019
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.05253
Farey sequences; the sequences (1^k, 2^k, dots) (11B57) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Relations between ergodic theory and number theory (37A44)
Related Items (2)
Partial sums of the cotangent function ⋮ Two arithmetic applications of perturbations of composition operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Central limit theorem for linear groups
- The maximal order of hyper-(\(b\)-ary)-expansions
- Upper bounds for Stern's diatomic sequence and related sequences
- Multidimensional continued fractions and a Minkowski function
- Fractal analysis for sets of non-differentiability of Minkowski's question mark function
- Maps of intervals with indifferent fixed points: thermodynamic formalism and phase transitions
- On convergence rates in the central limit theorems for combinatorial structures
- Dynamical analysis of a class of Euclidean algorithms.
- Euclidean algorithms are Gaussian
- Perturbation theory for linear operators.
- Large deviations for combinatorial distributions. I: Central limit theorems
- The maximal order of Stern's diatomic sequence
- Limit theorems for non-commutative operators. I
- Recounting the Rationals
- Infinite Ergodic Theory of Numbers
- Largest values of the Stern sequence, alternating binary expansions and continuants
- Counting preimages
- A multifractal analysis for Stern-Brocot intervals, continued fractions and Diophantine growth rates
- Note on a Singular Function of Minkowski
- Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval
- Automatic Sequences
- On the spectrum of Farey and Gauss maps
- Towards a complete determination of the spectrum of a transfer operator associated with intermittency
- Entropies of the partitions of the unit interval generated by the Farey tree
- Thermodynamic Formalism
- Central limit theorem for probability measures defined by sum-of-digits function in base 2
- Noncommuting Random Products
- On Some Singular Monotonic Functions Which Are Strictly Increasing
- The number of steps in the Euclidean algorithm
This page was built for publication: Statistical distribution of the Stern sequence
