Lower bounds for the random walks on amenable p-adic groups

被引：3
作者：
Mustapha, S [1 ]
机构：
[1] Inst Math Jussieu, F-75013 Paris, France
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2006年 / 42卷 / 01期
关键词：
random walks; p-adic groups;
D O I：
10.1016/j.anihpb.2005.02.004
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We give central lower estimates for the transition kernels corresponding to symmetric random walks on amenable p-adic groups. (c) 2005 Elsevier SAS. Tous droits reserves.
引用
收藏
页码：81 / 88
页数：8
相关论文
共 36 条
[1]   A LOWER ESTIMATE FOR CENTRAL PROBABILITIES ON POLYCYCLIC GROUPS [J].
ALEXOPOULOS, G .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1992, 44 (05) :897-910
[2]  
[Anonymous], 1955, THEORIE GROUPES LIE
[3]  
Bachman G., 1964, Introduction to p-Adic Numbers and Valuation Theory
[4]  
Borel A., 1965, Publications Mathematiques. Institut de Hautes Etudes Scientifiques, V27, P55
[5]  
Cassels J., 1986, LOCAL FIELDS
[6]   A geometric approach to on-diagonal heat kernel lower bounds on groups [J].
Coulhon, T ;
Grigor'yan, A ;
Pittet, C .
ANNALES DE L INSTITUT FOURIER, 2001, 51 (06) :1763-+
[7]   On-diagonal lower bounds for heat kernels and Markov [J].
Coulhon, T ;
Grigoryan, A .
DUKE MATHEMATICAL JOURNAL, 1997, 89 (01) :133-199
[8]  
COULHON T, 1998, JOURN EQ DER PART ST, P1
[9]  
Grigor'yan A., 1994, REV MAT IBEROAM, V10, P395
[10]  
GRIGORCHUK RI, 1984, MATH USSR IZV+, V48, P259
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