Linear actions of free groups

被引：1

作者：

Pollicott, M ^{[1
]}

Sharp, R ^{[1
]}

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

来源：

ANNALES DE L INSTITUT FOURIER | 2001年 / 51卷 / 01期

关键词：

linear action; free group; projective space; thermodynamic formalism; orbit counting;

D O I：

10.5802/aif.1819

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study dynamical properties of linear actions by free groups via the induced action on projective space. This point of view allows us to introduce techniques from Thermodynamic Formalism. In particular, we obtain estimates on the growth of orbits and their limiting distribution on projective space.

引用

页码：131 / +

页数：21

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