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.
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页码：379 / 384
页数：6
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