Gaussian Estimates for Random Walks on Some Unimodular p-adic Groups

被引:0
作者
Sami Mustapha
机构
[1] Institut mathématique de Jussieu,
来源
Journal of Theoretical Probability | 2006年 / 19卷
关键词
random walk; -adic groups; 22E35; 60B15; 60G50;
D O I
暂无
中图分类号
学科分类号
摘要
It is shown in this paper that the transition kernels corresponding to simple random walks on certain unimodular solvable p-adic groups admit upper Gaussian estimates.
引用
收藏
页码:773 / 787
页数:14
相关论文
共 16 条
  • [1] Anker J.-Ph.(1992)Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces Duke Math. J. 65 257-297
  • [2] Anker J.-Ph.(1996)Spherical analysis on harmonic Ann. Scuola Norm. Sup. Pisa, 23 643-679
  • [3] Damek E.(1965) groups Publ. Math. IHES 27 55-150
  • [4] Yacoub Ch.(1973)Groupes réductifs Bull. Soc. Math. Fr. 101 333-379
  • [5] Borel A.(1993)Croissance Polynômiale et Périodes Des Fonctions Harmoniques Ann. Probab. 21 673-709
  • [6] Tits J.(2005)Gaussian estimates for Markov chains and random walks on groups Stoch. Process Appl. 115 927-937
  • [7] Guivarc’h Y.(2002)Random walks on unimodular Ann. Probab. 30 1-30
  • [8] Hebisch W.(1999)-adic groups New York J. Math. 5 101-105
  • [9] Saloff-Coste L.(2003)On random walks on wreath products Electron. Comm. Probab. 8 142-154
  • [10] Mustapha S.(1996)On Classes of Rev. Mat. Iberoam. 12 147-186