The exponent of convergence for 2-dimensional Jacobi-Perron type algorithms

DOI10.1007/s006050170050zbMath0978.11030OpenAlexW2070003526MaRDI QIDQ5939038

Kentaro Nakaishi

Publication date: 6 February 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050170050

zbMATH Keywords

simultaneous approximationJacobi-Perron algorithmBrun's algorithmexponent of convergenceGüting's algorithmPodsypanin's algorithm

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items (4)

EXPONENTIALLY STRONG CONVERGENCE OF NON-CLASSICAL MULTIDIMENSIONAL CONTINUED FRACTION ALGORITHMS ⋮ A Note on Lyapunov Theory for Brun Algorithm ⋮ The modified Jacobi-Perron algorithm over \(\mathbb F_q (X)^d\) ⋮ Constructions of Pisot and Salem numbers with flat palindromes

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