Geodesic
Badly approximable matrices and Diophantine exponents
Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 38-79

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is a survey of results concerning different kinds of Diophantine exponents. Special attention is paid to the transference principle and to generalization of the concept of badly approximable numbers to matrices and lattices.
Keywords: Diophantine exponents, transference principle, badly approximable matrices, multidimensional continued fractions, Klein polyhedra, dual lattices. 
@article{CHEB_2013_14_4_a3,
     author = {O. N. German},
     title = {Badly approximable matrices and {Diophantine} exponents},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {38--79},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a3/}
}
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O. N. German. Badly approximable matrices and Diophantine exponents. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 38-79. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a3/