FRACTIONAL 2D-STOCHASTIC CURRENTS

被引:0
作者
Tudor, Ciprian A. [1 ,2 ]
Tudor, Maria [2 ]
机构
[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq, France
[2] Acad Econ Studies, Dept Math, 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
O1 [数学];
学科分类号
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 15 条
[1]   Regularity of the local time for the d-dimensional fractional Brownian motion with N-parameters [J].
Eddahbi, M ;
Lacayo, R ;
Solé, JL ;
Vives, J ;
Tudor, CA .
STOCHASTIC ANALYSIS AND APPLICATIONS, 2005, 23 (02) :383-400
[2]  
Federer H., 1969, Geometric Measure Theory. Classics in Mathematics
[3]   Stochastic currents [J].
Flandoli, F ;
Gubinelli, M ;
Giaquinta, M ;
Tortorelli, VM .
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2005, 115 (09) :1583-1601
[4]  
Flandoli F, 2002, P ASC 2002 BIRH
[5]   2D-Stochastic Currents over the Wiener Sheet [J].
Flandoli, Franco ;
Imkeller, Peter ;
Tudor, Ciprian A. .
JOURNAL OF THEORETICAL PROBABILITY, 2014, 27 (02) :552-575
[6]   On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model [J].
Flandoli, Franco ;
Gubinelli, Massimiliano ;
Russo, Francesco .
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2009, 45 (02) :545-576
[7]   Brownian and fractional Brownian stochastic currents via Malliavin calculus [J].
Flandoli, Franco ;
Tudor, Ciprian A. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (01) :279-306
[8]  
Giaquinta Mariano, 1998, Cartesian Currents in the Calculus of Variations, VI
[9]  
Imkeller P, 1984, PROBAB THEORY REL, V98, P47
[10]  
Morgan F., 1988, GEOMETRIC MEASURE TH