Characteristic exponents of the Jacobi Perron algorithm and of the associated map

被引：21
作者：
Broise-Alamichel, A
Guivarc'h, Y
机构：
[1] Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
[2] Univ Rennes 1, CNRS, UMR 6625, IRMAR, F-35042 Rennes, France
来源：
ANNALES DE L INSTITUT FOURIER | 2001年 / 51卷 / 03期
关键词：
D O I：
10.5802/aif.1832
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that, for every dimension d, the Lyapunov exponents of the Jacobi-Perron algorithm are all different, and that the sum of the extreme exponents is strictly positive. Especially, if d = 2, the second exponent is strictly negative.
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页码：565 / +
页数：123
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