A convergence exponent for multidimensional continued-fraction algorithms

DOI10.1007/BF01054431zbMath0890.11024OpenAlexW2026654212MaRDI QIDQ1203280

P. R. Baldwin

Publication date: 1 September 1994

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01054431

zbMATH Keywords

Kolmogorov-Sinai entropyJacobi-Perron algorithmmetric propertiesconvergence exponentgeneralized mediant algorithmapproximating irrationalsmultidimensional continued-fraction algorithmsOseledec eigenvalues

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Metric theory of continued fractions (11K50)

Related Items (11)

The Three-Dimensional Gauss Algorithm Is Strongly Convergent Almost Everywhere ⋮ On the second Lyapunov exponent of some multidimensional continued fraction algorithms ⋮ Simultaneous approximations to \(p\)-adic numbers and algebraic dependence via multidimensional continued fractions ⋮ Using the Inhomogeneous Simultaneous Approximation Problem for Cryptographic Design ⋮ The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms ⋮ A multidimensional continued fraction and some of its statistical properties ⋮ 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) ⋮ A multidimensional continued fraction based on a high-order recurrence relation ⋮ Numerical Study of Invariant Sets of a Quasiperiodic Perturbation of a Symplectic Map ⋮ Almost everywhere exponential convergence of the modified Jacobi—Perron algorithm ⋮ Almost everywhere balanced sequences of complexity \(2n + 1\)

Cites Work

• Unnamed Item
• Diophantine approximation
• The metrical theory of Jacobi-Perron algorithm
• Applications of Number Theory to Numerical Analysis
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Ergodic theory of chaos and strange attractors

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