an:01340940
Zbl 1044.11596
Arnold, V. I.
Higher dimensional continued fractions
EN
Regul. Chaotic Dyn. 3, No. 3, 10-17 (1998).
00056072
1998
j
11J70 13A99 11A55 52B70
Summary: The higher-dimensional analogue of a continued fraction is the polyhedral surface, bounding the convex hull of the semigroup of the integer points in a simplicial cone of the Euclidean space. The article describes some conjectures and theorems, extending to such higher-dimensional continued fraction the Lagrange theorem on quadratic irrationals and the Gauss-Kuzmin statistics.