Lochs-type theorems beyond positive entropy
DOI10.1007/s00605-022-01805-yOpenAlexW4313575798WikidataQ122227488 ScholiaQ122227488MaRDI QIDQ2696254
Eda Cesaratto, Pablo Rotondo, Martín D. Safe, Valérie Berthé
Publication date: 11 April 2023
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.04008
numeration systemszero entropychange of baseinfinite entropyLochs' theoremthree-distance theoremFarey and Stern-Brocot sequences
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Entropy and other invariants (28D20) Metric theory of continued fractions (11K50) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)
Cites Work
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- Frequencies of factors of Sturmian sequences
- On the number of factors of Sturmian words
- Continued fraction and decimal expansions of an irrational number
- The relative growth of information in two-dimensional partitions
- Beta-expansion and continued fraction expansion over formal Laurent series
- Estimates for partial sums of continued fraction partial quotients
- Limit theorems for sums of partial quotients of continued fractions
- Continued fraction algorithms, functional operators, and structure constants
- A central limit theorem related to decimal and continued fraction expansion
- Some sums involving Farey fractions. I
- Three distance theorems and combinatorics on words
- Dynamical sources in information theory: A general analysis of trie structures
- Dynamical directions in numeration
- Beta-expansion and continued fraction expansion
- An iterated logarithm law related to decimal and continued fraction expansions
- Die ersten 968 Kettenbruchnenner von \(\pi\)
- Equipartition of interval partitions and an application to number theory
- Continuous distributions arising from the Three Gap Theorem
- On the lengths of basic intervals in beta expansions
- Representations for real numbers and their ergodic properties
- Partial quotients of continued fractions and β-expansions
- Weyl sequences: Asymptotic distributions of the partition lengths
- On decimal and continued fraction expansions of a real number
- Beta-expansion and continued fraction expansion of real numbers
- Entropies of the partitions of the unit interval generated by the Farey tree
- Dichotomic Selection on Words: A Probabilistic Analysis
- Entropy quotients and correct digits in number-theoretic expansions
- Gaussian Distribution of Trie Depth for Strongly Tame Sources
- Pseudo-randomness of a random Kronecker sequence. An instance of dynamical analysis
- A Short Proof of the Simple Continued Fraction Expansion of 𝑒
- A Note on Farey Series
- Two Arithmetical Sources and Their Associated Tries
- Limit theorems related to beta-expansion and continued fraction expansion
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