The d-dimensional Gauss transformation: Strong convergence and Lyapunov exponents

Experimental Mathematics

Volumn 11, Issue 1, 2002, Pages 119-129

  Hardcastle, D M ^a   Khanin, K ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

Brun's algorithm; Jacobi Perron algorithm; Lyapunov exponents; Multidimensional continued fractions; Strong convergence

Indexed keywords

EID: 0036332973     PISSN: 10586458     EISSN: None     Source Type: Journal    
DOI: 10.1080/10586458.2002.10504474     Document Type: Article

References (20)

1. Mesures de Gauss pour des algorithmes de fractious continues multidimensionelles
2. Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée
3. Algorithmes euclidiens pour trois et quatre nombres
4. On almost everywhere exponential convergence of the modified Jacobi-Perron algorithm: A corrected proof
5. On almost everywhere strong convergence of multidimensional continued fraction algorithms
6. Continued fractions and the d-dimensional Gauss transformation
7. The three-dimensional Gauss algorithm is strongly convergent almost everywhere
8. Almost everywhere exponential co+nvergence of the modified Jacobi-Perron algorithm
9. Allgemeine theorie der kettenbruchähnlichen algorithmen, in welchen jede Zahl ans drei vorhergehenden gebildet wird
10. The ergodic theory of subadditive stochastic processes
11. The quality of the Diophantine approximations found by the Jacobi-Perron algorithm and related algorithms
12. A simple proof of the exponential convergence of the modified Jacobi-Perron algorithm
13. Continued fractions in several dimensions
14. Grundlagen für eine theorie des Jacobischen kettenbruchalgorithmus
15. A generalization of the algorithm for continued fractious related to the algorithm of Viggo Brunn
16. A modified Jacobi-Perron algorithm with explicitly given invariant measure
17. The exponent of convergence for the 2-dimensional Jacobi-Perron algorithm
18. Om flerdimensjonal Kjede brøk