Geodesic
The three-dimensional Gauss algorithm is strongly convergent almost everywhere.
Experimental mathematics, Tome 11 (2002) no. 1, pp. 131-141 Cet article a éte moissonné depuis la source European Digital Mathematics Library

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Keywords: multidimensional continued fractions, Brun's algorithm, Jacobi-Perron algorithm, strong convergence, Lyapunov exponents 
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     author = {Hardcastle, D.M.},
     title = {The three-dimensional {Gauss} algorithm is strongly convergent almost everywhere.},
     journal = {Experimental mathematics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EXMA_2002__11_1_50344/}
}
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Hardcastle, D.M. The three-dimensional Gauss algorithm is strongly convergent almost everywhere.. Experimental mathematics, Tome 11 (2002) no. 1, pp. 131-141. http://geodesic.mathdoc.fr/item/EXMA_2002__11_1_50344/