Large and Moderate Deviations for Random Walks on Nilpotent Groups

被引:0
作者
Paolo Baldi
Lucia Caramellino
机构
[1] Università di Roma Tor Vergata,Dipartimento di Matematica
[2] Università Roma,Dipartimento di Matematica
来源
Journal of Theoretical Probability | 1999年 / 12卷
关键词
Large deviations; random walks; nilpotent groups;
D O I
暂无
中图分类号
学科分类号
摘要
We prove large and moderate deviation estimates for products of i.i.d. r.v.'s taking values on simply connected nilpotent Lie groups as a consequence of large and moderate deviation results for stochastic processes which are solutions of O.D.E. with random coefficients.
引用
收藏
页码:779 / 809
页数:30
相关论文
共 9 条
[1]  
Baldi P.(1986)Large deviation and functional iterated logarithm law for diffusion processes Prob. Th. Rel. Fields 71 435-453
[2]  
Crepel P.(1977)Une loi du logarithme itéré pour le groupe de Heisenberg Z. Wahrsch. verw. Geb. 39 217-229
[3]  
Roynette B.(1979)Grandes et moyennes déviations pour les marches aleatoires Asterisque 68 53-71
[4]  
Deshayes J.(1977)Principe de moindre action, propagation de la chaleur et estimées sous-elliptiques sur les groupes nilpotents Acta Math. 139 95-153
[5]  
Picard D.(1963)Probability inequalities for sums of bounded random variables J. Amer. Stat. Assoc. 58 13-30
[6]  
Gaveau B.(1976)Large deviations for trajectories of multidimensional random walks Th. Prob. Appl. 21 309-323
[7]  
Hoeffding W.(1964)An invariance principle for the law of the iterated logarithm Z. Wahrsch. verw. Geb. 3 211-226
[8]  
Mogul'skii A. A.(undefined)undefined undefined undefined undefined-undefined
[9]  
Strassen V.(undefined)undefined undefined undefined undefined-undefined