A multidimensional continued fraction and some of its statistical properties
type: Item
instance of: scholarly article
title: A multidimensional continued fraction and some of its statistical properties
zbMATH Open document ID: 0891.11039
DOI: 10.1007/BF01054430
author: P. R. Baldwin
published in: Journal of Statistical Physics
publication date: 1994-09-01T00:00:00Z
Mathematics Subject Classification ID: 11K50
Mathematics Subject Classification ID: 28D20
Mathematics Subject Classification ID: 11J17
Mathematics Subject Classification ID: 11Y16
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 111998
zbMATH Keywords: approximating irrational numbers
zbMATH Keywords: multidimensional continued-fraction algorithm
zbMATH Keywords: generalized mediant algorithm
zbMATH Keywords: Kolmogorov-Sinai entropy
MaRDI profile type: Publication
cites work: Diophantine approximation
cites work: Applications of Number Theory to Numerical Analysis
cites work: Q3856819
cites work: On the approximation of invariant measures for continued fractions
cites work: The metrical theory of Jacobi-Perron algorithm
cites work: Geodesic Multidimensional Continued Fractions
cites work: Some ergodic properties of multi-dimensional f-expansions
cites work: Q5185740
cites work: Presentation functions, fixed points, and a theory of scaling function dynamics.
cites work: Q3924277
cites work: Q3941473
cites work: Ergodic theory of chaos and strange attractors
cites work: A mean-field approximation for the maximum Lyapunov exponent of Bernoulli trials of matrices
cites work: A convergence exponent for multidimensional continued-fraction algorithms
full work available at URL: https://doi.org/10.1007/bf01054430
OpenAlex ID: W1996121512
description: scientific article; zbMATH DE number 111998