Recurrent random walks on homogeneous spaces of p-adic algebraic groups of polynomial growth

被引：2

作者：

Raja, C. Robinson Edward ^{[1
]}

Schott, Rene ^{[2
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, India

[2] Univ Henri Poincare, ICEN & Poincare, Nancy, France

来源：

ARCHIV DER MATHEMATIK | 2008年 / 91卷 / 04期

关键词：

Random walks; recurrence; polynomial growth; p-adic algebraic group;

D O I：

10.1007/s00013-008-2663-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a p-adic algebraic group of polynomial growth and H be a closed subgroup of G. We prove the growth conjecture for the homogeneous space G/H, that is, G/H supports a recurrent random walk if and only if G/H has polynomial growth of degree atmost two.

引用

页码：379 / 384

页数：6

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