Orbits of linear group actions, random walks on homogeneous spaces and toral automorphisms

被引：31

作者：

Guivarc'h, Y

Starkov, AN

机构：

[1] Inst Rech Math Rennes 1, F-35042 Rennes, France

[2] All Russian Inst Elect, Istra 143500, Moscow Region, Russia

[3] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 117234, Russia

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2004年 / 24卷

关键词：

D O I：

10.1017/S0143385703000440

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let V be a finite-dimensional vector space over R and let Gamma subset of GL(V) be a semigroup. We study the closed F-invariant subsets of V - {0} under the condition that the Zariski closure of Gamma is semi-simple. We use the results to show that, if Gamma subset of SL(R-d) acts on T-d by automorphisms, then the orbits of F are finite or dense.

引用

页码：767 / 802

页数：36

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