The convergence of the generalised Selmer algorithm

DOI10.1007/s11856-015-1237-xzbMath1332.11072OpenAlexW2230778605WikidataQ59184739 ScholiaQ59184739MaRDI QIDQ891184

Henk Bruin, Cornelis Kraaikamp, Robbert J. Fokkink

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-015-1237-x

zbMATH Keywords

subtractive algorithmergodic probability measuremultidimensional continuous fractionsSelmer algorithm

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Ergodicity, mixing, rates of mixing (37A25) Metric theory of continued fractions (11K50)

Related Items (4)

Multidimensional continued fractions and symbolic codings of toral translations ⋮ Erratum to: ``The convergence of the generalised Selmer algorithm ⋮ On the second Lyapunov exponent of some multidimensional continued fraction algorithms ⋮ Analysis of generalized continued fraction algorithms over polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms
• Absorbing sets of homogeneous subtractive algorithms
• Recurrence times and rates of mixing
• On Schweiger's problems on fully subtractive algorithms
• Infinite clusters and critical values in two-dimensional circle percolation
• The three-dimensional Poincaré continued fraction algorithm
• Invariant simplices for subtractive algorithms
• Variations of the Poincaré Map
• The Computational Complexity of Simultaneous Diophantine Approximation Problems
• An algorithm for calculating critical probabilities and percolation functions in percolation models defined by rotations
• Ergodic properties of a dynamical system arising from percolation theory
• Lebesgue Ergodicity of a Dissipative Subtractive Algorithm
• Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map)

This page was built for publication: The convergence of the generalised Selmer algorithm