STATIONARY MEASURES AND INVARIANT SUBSETS OF HOMOGENEOUS SPACES (II)

被引：41

作者：

Benoist, Yves ^{[1
]}

Quint, Jean-Francois ^{[2
]}

机构：

[1] Univ Paris 11, CNRS, F-91405 Orsay, France

[2] Univ Paris 13, CNRS, LAGA, F-93430 Villetaneuse, France

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 26卷 / 03期

关键词：

D O I：

10.1090/S0894-0347-2013-00760-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a real Lie group, Λ a lattice of G, μ a compactly supported probability measure on G, and Γ the subgroup generated by the support of μ. We prove that, when the Zariski closure of the adjoint group Ad(Γ) is semisimple with no compact factor, every μ-ergodic μ-stationary probability measure on G/Λ is homogeneous. We also prove similar results for p-adic Lie groups. © 2013 American Mathematical Society.

引用

页码：659 / 734

页数：76

共 28 条

[1]

Benoist Y, 1997, GEOM FUNCT ANAL, V7, P1, DOI 10.1007/PL00001613

[2] Random walks on finite volume homogeneous spaces [J].