Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (6): 1507-1521.doi: 10.1016/S0252-9602(13)60100-9

• Articles •     Next Articles

FRACTIONAL 2D-STOCHASTIC CURRENTS

Ciprian A. TUDOR|Maria TUDOR   

  1. 1. Laboratoire Paul Painlev´e, Universit´e de Lille 1 F-59655 Villeneuve d’Ascq, France; 2. Department of Mathematics, Academy of Economical Studies, Bucharest, Romania
  • Received:2012-06-12 Revised:2012-11-15 Online:2013-11-20 Published:2013-11-20
  • Supported by:

    Partially supported by the ANR grant “Masterie” BLAN 012103. Associate member of the team Samos, Universit´e de Panth´eon-Sorbonne Paris 1.

    Support by the CNCS grant “PN-II-ID-PCE-2011-3-0593

Abstract:

Using multiple stochastic integrals and the stochastic calculus for the frac-tional Brownian sheet, we define and we analyze the 2D -fractional stochastic currents.

Key words: multiple stochastic integrals, fractional Brownian sheet, two-parameter processes, Hurst parameter

CLC Number: 

  • 60G15
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