Entropies of the partitions of the unit interval generated by the Farey tree

DOI10.4064/aa115-1-4zbMath1065.11058OpenAlexW2016464511MaRDI QIDQ4829488

Nikolai G. Moshchevitin, Anatoly A. Zhigljavsky

Publication date: 29 November 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa115-1-4

zbMATH Keywords

entropycontinued fractionstransfer operatorFarey mapFarey treepartition of the interval

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Rational numbers as sums of fractions (11D68) Diophantine approximation in probabilistic number theory (11K60)

Related Items (5)

Moments for the multidimensional Mönkemeyer algorithm ⋮ Statistical distribution of the Stern sequence ⋮ Chromatic numbers of suborbital graphs for the modular group and the extended modular group ⋮ Lochs-type theorems beyond positive entropy ⋮ Asymptotics for two-dimensional Farey-Brocot nets

This page was built for publication: Entropies of the partitions of the unit interval generated by the Farey tree