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Volumn 45, Issue 2, 2009, Pages 545-576

On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model

Author keywords

Currents; Forward and symmetric integrals; Fractional Brownian motion; Pathwise stochastic integrals; Vortex filaments

Indexed keywords


EID: 70350356174     PISSN: 02460203     EISSN: 02460203     Source Type: Journal    
DOI: 10.1214/08-AIHP174     Document Type: Article
Times cited : (23)

References (22)
  • 1
    • 0038433460 scopus 로고    scopus 로고
    • Stochastic Stratonovich calculus for fractional Brownian motion with Hurst parameter less than 1/2
    • MR1849782
    • E. Alos, J. A. Leon and D. Nualart. Stochastic Stratonovich calculus for fractional Brownian motion with Hurst parameter less than 1/2. Taiwanese J. Math. 5 (2001) 609-632. MR1849782
    • (2001) Taiwanese J. Math. , vol.5 , pp. 609-632
    • Alos, E.1    Leon, J.A.2    Nualart, D.3
  • 2
    • 0033484276 scopus 로고    scopus 로고
    • The importance of strictly local martingales; Applications to radial Ornstein-Uhlenbeck processes
    • MR1725406
    • K. D. Elworthy, X.-M. Li and M. Yor. The importance of strictly local martingales; applications to radial Ornstein-Uhlenbeck processes. Probab. Theory Related Fields 115 (1999) 325-355. MR1725406
    • (1999) Probab. Theory Related Fields , vol.115 , pp. 325-355
    • Elworthy, K.D.1    Li, X.-M.2    Yor, M.3
  • 4
    • 0036183790 scopus 로고    scopus 로고
    • On a probabilistic description of small scale structures in 3D fluids
    • MR1899111
    • F. Flandoli. On a probabilistic description of small scale structures in 3D fluids. Annal. Inst. H. Poincaré Probab. Statist. 38 (2002) 207-228. MR1899111
    • (2002) Annal. Inst. H. Poincaré Probab. Statist. , vol.38 , pp. 207-228
    • Flandoli, F.1
  • 5
    • 0036004911 scopus 로고    scopus 로고
    • The Gibbs ensemble of a vortex filament
    • MR1892850
    • F. Flandoli and M. Gubinelli. The Gibbs ensemble of a vortex filament. Probab. Theory Related Fields 122 (2002) 317-340. MR1892850
    • (2002) Probab. Theory Related Fields , vol.122 , pp. 317-340
    • Flandoli, F.1    Gubinelli, M.2
  • 6
    • 23244433016 scopus 로고    scopus 로고
    • Statistics of a vortex filament model
    • MR2164032
    • F. Flandoli and M. Gubinelli. Statistics of a vortex filament model. Electron. J. Prob. 10 (2005) 865-900. MR2164032
    • (2005) Electron. J. Prob. , vol.10 , pp. 865-900
    • Flandoli, F.1    Gubinelli, M.2
  • 8
    • 23044531159 scopus 로고    scopus 로고
    • Probabilistic models of vortex filaments
    • MR1864038
    • F. Flandoli and I. Minelli. Probabilistic models of vortex filaments. Czechoslovak Math. J. 51 (2001) 713-731. MR1864038
    • (2001) Czechoslovak Math. J. , vol.51 , pp. 713-731
    • Flandoli, F.1    Minelli, I.2
  • 10
    • 0000389346 scopus 로고
    • Sur le temps local d'intersection du mouvement brownien plan et la méthode de renormalisation de Varadhan
    • Lecture Notes in Math. Springer, Berlin. MR0889492
    • J.-F. Le Gall. Sur le temps local d'intersection du mouvement brownien plan et la méthode de renormalisation de Varadhan. Séminaire de probabilités, XIX, 1983/84 314-331. Lecture Notes in Math. 1123. Springer, Berlin, 1985. MR0889492
    • (1985) Séminaire de Probabilités XIX, 1983/84 , vol.1123 , pp. 314-331
    • Le Gall, J.-F.1
  • 11
    • 0346332490 scopus 로고    scopus 로고
    • Generalized covariations, local time and Stratonovich Itô's formula for fractional Brownian motion with Hurst index H ≥ 1/4
    • MR2016600
    • M. Gradinaru, F. Russo and P. Vallois. Generalized covariations, local time and Stratonovich Itô's formula for fractional Brownian motion with Hurst index H ≥ 14 . Ann. Probab. 31 (2003) 1772-1820. MR2016600
    • (2003) Ann. Probab. , vol.31 , pp. 1772-1820
    • Gradinaru, M.1    Russo, F.2    Vallois, P.3
  • 12
    • 19344375364 scopus 로고    scopus 로고
    • M-order integrals and generalized Itô's formula: The case of a fractional Brownian motion with any Hurst index
    • MR2144234
    • M. Gradinaru, I. Nourdin, F. Russo and P. Vallois. m-order integrals and generalized Itô's formula: the case of a fractional Brownian motion with any Hurst index. Ann. Inst. H. Poincaré Probab. Statist. 41 (2005) 781-806. MR2144234
    • (2005) Ann. Inst. H. Poincaré Probab. Statist. , vol.41 , pp. 781-806
    • Gradinaru, M.1    Nourdin, I.2    Russo, F.3    Vallois, P.4
  • 13
    • 10644289181 scopus 로고    scopus 로고
    • Approximation at first and second order of m-order integrals of the fractional Brownian motion and of certain semimartingales
    • MR2041819
    • M. Gradinaru and I. Nourdin. Approximation at first and second order of m-order integrals of the fractional Brownian motion and of certain semimartingales. Electron. J. Probab. 8 (2003) 26 pp. MR2041819
    • (2003) Electron. J. Probab. , vol.8
    • Gradinaru, M.1    Nourdin, I.2
  • 14
    • 4344654665 scopus 로고    scopus 로고
    • Controlling rough paths
    • MR2091358
    • M. Gubinelli. Controlling rough paths. J. Funct. Anal. 216 (2004) 86-140. MR2091358
    • (2004) J. Funct. Anal. , vol.216 , pp. 86-140
    • Gubinelli, M.1
  • 16
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • MR1654527
    • T. J. Lyons. Differential equations driven by rough signals. Revista Math. Iberoamericana 14 (1998) 215-310. MR1654527
    • (1998) Revista Math. Iberoamericana , vol.14 , pp. 215-310
    • Lyons, T.J.1
  • 20
    • 0002992001 scopus 로고    scopus 로고
    • Stochastic calculus with respect to continuous finite quadratic variation processes
    • MR1785063
    • F. Russo and P. Vallois. Stochastic calculus with respect to continuous finite quadratic variation processes. Stochastics Stochastics Rep. 70 (2000) 1-40. MR1785063
    • (2000) Stochastics Stochastics Rep. , vol.70 , pp. 1-40
    • Russo, F.1    Vallois, P.2
  • 21
    • 34547534189 scopus 로고    scopus 로고
    • Elements of stochastic calculus via regularization
    • C. Donati-Martin, M. Emery, A. Rouault and C. Stricker (Eds). Lecture Notes in Math. 1899 Springer, Berlin, Heidelberg
    • F. Russo and P. Vallois. Elements of stochastic calculus via regularization. Séminaire de Probabilités XL 147-186. C. Donati-Martin, M. Emery, A. Rouault and C. Stricker (Eds). Lecture Notes in Math. 1899. Springer, Berlin, Heidelberg, 2007.
    • (2007) Séminaire de Probabilités XL , pp. 147-186
    • Russo, F.1    Vallois, P.2


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