Geodesic
The Quality of the Diophantine Approximations Found by the Jacobi-Perron Algorithm and Related Algorithms.
Monatshefte für Mathematik, Tome 115 (1993) no. 4, pp. 299-328.

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Mots-clés : Markovian multivariate continued fraction, multivariate continued fraction, simplex splitting multivariate continued fraction, Oseledec's multiplicative ergodic theorem, uniform approximation exponent, best approximation exponent 
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     author = {J.C. Lagarias},
     title = {The {Quality} of the {Diophantine} {Approximations} {Found} by the {Jacobi-Perron} {Algorithm} and {Related} {Algorithms.}},
     journal = {Monatshefte f\"ur Mathematik},
     pages = {299--328},
     publisher = {mathdoc},
     volume = {115},
     number = {4},
     year = {1993},
     zbl = {0790.11059},
     url = {http://geodesic.mathdoc.fr/item/MOMA_1993__115_4_178612/}
}
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J.C. Lagarias. The Quality of the Diophantine Approximations Found by the Jacobi-Perron Algorithm and Related Algorithms.. Monatshefte für Mathematik, Tome 115 (1993) no. 4, pp. 299-328. http://geodesic.mathdoc.fr/item/MOMA_1993__115_4_178612/