FRACTIONAL 2D-STOCHASTIC CURRENTS

被引:0
作者
Ciprian ATUDOR [1 ,2 ]
Maria TUDOR [2 ]
机构
[1] Laboratoire Paul Painlev,Universit de Lille F- Villeneuve d’Ascq,France
[2] Department of Mathematics,Academy of Economical Studies,Bucharest,Romania
关键词
currents; multiple stochastic integrals; fractional Brownian sheet; two-parameter processes; Hurst parameter;
D O I
暂无
中图分类号
O211.6 [随机过程]; O172 [微积分];
学科分类号
020208 ; 070103 ; 0714 ; 0701 ; 070101 ;
摘要
Using multiple stochastic integrals and the stochastic calculus for the fractional Brownian sheet,we define and we analyze the 2D-fractional stochastic currents.
引用
收藏
页码:1507 / 1521
页数:15
相关论文
共 5 条
[1]  
Brownian and fractional Brownian stochastic currents via Malliavin calculus[J] . Franco Flandoli,Ciprian A. Tudor. Journal of Functional Analysis . 2009 (1)
[2]   Stochastic currents [J].
Flandoli, F ;
Gubinelli, M ;
Giaquinta, M ;
Tortorelli, VM .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2005, 115 (09) :1583-1601
[3]  
It? Formula and Local Time for the Fractional Brownian Sheet[J] . Ciprian Tudor,Frederi Viens. Electronic Journal of Probability . 2003
[4]  
The asymptotic behaviour of local times and occupation integrals of the N -parameter Wiener process in R d[J] . Peter Imkeller,Ferene Weisz. Probability Theory and Related Fields . 1994 (1)
[5]  
Smoothness of Brownian local times and related functionals[J] . D. Nualart,J. Vives. Potential Analysis . 1992 (3)