메뉴 건너뛰기




Volumn 42, Issue 2, 2006, Pages 245-271

Large deviations for rough paths of the fractional Brownian motion

Author keywords

Fractional Brownian motion; Large deviation principle; Rough paths

Indexed keywords


EID: 31444454600     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpb.2005.04.003     Document Type: Article
Times cited : (30)

References (16)
  • 1
    • 0035537291 scopus 로고    scopus 로고
    • Stochastic calculus with respect to Gaussian processes
    • E. Alòs O. Mazet D. Nualart Stochastic calculus with respect to Gaussian processes Ann. Probab. 29 2 2001 766-801
    • (2001) Ann. Probab. , vol.29 , Issue.2 , pp. 766-801
    • Alòs, E.1    Mazet, O.2    Nualart, D.3
  • 2
    • 0037270163 scopus 로고    scopus 로고
    • Stochastic integration with respect to fractional Brownian motion
    • P. Carmona L. Coutin G. Montseny Stochastic integration with respect to fractional Brownian motion Ann. Inst. H. Poincaré 39 1 2003 27-68
    • (2003) Ann. Inst. H. Poincaré , vol.39 , Issue.1 , pp. 27-68
    • Carmona, P.1    Coutin, L.2    Montseny, G.3
  • 3
    • 0010275327 scopus 로고    scopus 로고
    • The Lévy area process for the free Brownian motion
    • M. Capitaine C. Donati-Martin The Lévy area process for the free Brownian motion J. Funct. Anal. 179 1 2001 153-169
    • (2001) J. Funct. Anal. , vol.179 , Issue.1 , pp. 153-169
    • Capitaine, M.1    Donati-Martin, C.2
  • 4
    • 0036002985 scopus 로고    scopus 로고
    • Stochastic analysis, rough path analysis and fractional Brownian motions
    • L. Coutin Z. Qian Stochastic analysis, rough path analysis and fractional Brownian motions Probab. Theory Related Fields 122 2002 108-140
    • (2002) Probab. Theory Related Fields , vol.122 , pp. 108-140
    • Coutin, L.1    Qian, Z.2
  • 5
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis of the fractional Brownian motion
    • L. Decreusefond S. Üstünel Stochastic analysis of the fractional Brownian motion Potential Anal. 10 1999 177-214
    • (1999) Potential Anal. , vol.10 , pp. 177-214
    • Decreusefond, L.1    Üstünel, S.2
  • 6
    • 0010535277 scopus 로고    scopus 로고
    • A Skorohod-Stratonovitch integral for the fractional Brownian motion
    • Stochastic Analysis and Related Topics, VII (Kusadasi, 1998) Birkhäuser Boston Boston
    • L. Decreusefond A Skorohod-Stratonovitch integral for the fractional Brownian motion Stochastic Analysis and Related Topics, VII (Kusadasi, 1998) Progr. Probab. vol. 48 2001 Birkhäuser Boston Boston 177-198
    • (2001) Progr. Probab. , vol.48 , pp. 177-198
    • Decreusefond, L.1
  • 7
    • 31444452885 scopus 로고    scopus 로고
    • Large Deviations Techniques and Applications second ed. Springer-Verlag
    • A. Dembo O. Zeitouni Large Deviations Techniques and Applications second ed. Appl. Math. vol. 38 1998 Springer-Verlag
    • (1998) Appl. Math. , vol.38
    • Dembo, A.1    Zeitouni, O.2
  • 9
    • 31444447031 scopus 로고    scopus 로고
    • Approximations of the Brownian rough path with applications to stochastic analysis
    • arXiv math.PR/0308238 in press
    • P. Fritz N. Victoir Approximations of the Brownian rough path with applications to stochastic analysis prepublication, arXiv math.PR/ 0308238 Ann. Inst. H. Poincaré, in press
    • Ann. Inst. H. Poincaré
    • Fritz, P.1    Victoir, N.2
  • 11
    • 0036018185 scopus 로고    scopus 로고
    • Lévy area of Wiener processes in Banach spaces
    • M. Ledoux T. Lyons Z. Qian Lévy area of Wiener processes in Banach spaces Ann. Probab. 30 2 2002 546-578
    • (2002) Ann. Probab. , vol.30 , Issue.2 , pp. 546-578
    • Ledoux, M.1    Lyons, T.2    Qian, Z.3
  • 12
    • 0036887749 scopus 로고    scopus 로고
    • Large deviations and support theorem for diffusion processes via rough paths
    • M. Ledoux Z. Qian T. Zhang Large deviations and support theorem for diffusion processes via rough paths Stochastic Proccess. Appl. 102 2002 265-283
    • (2002) Stochastic Proccess. Appl. , vol.102 , pp. 265-283
    • Ledoux, M.1    Qian, Z.2    Zhang, T.3
  • 13
    • 23244461120 scopus 로고    scopus 로고
    • An introduction to rough paths
    • Séminaire de Probabilités XXXVII Springer Berlin
    • A. Lejay An introduction to rough paths Séminaire de Probabilités XXXVII Lecture Notes in Math. vol. 1832 2003 Springer Berlin 1-59
    • (2003) Lecture Notes in Math. , vol.1832 , pp. 1-59
    • Lejay, A.1
  • 14
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • T.J. Lyons Differential equations driven by rough signals Rev. Mat. Iberoamericana 14 1998 215-310
    • (1998) Rev. Mat. Iberoamericana , vol.14 , pp. 215-310
    • Lyons, T.J.1
  • 15
    • 31444447555 scopus 로고    scopus 로고
    • System Control and Rough Paths
    • Oxford: Oxford Science Publications, Clarendon Press
    • T. Lyons Z. Qian System Control and Rough Paths Oxford Math. Monographs 2002 Oxford Science Publications, Clarendon Press Oxford
    • (2002) Oxford Math. Monographs
    • Lyons, T.1    Qian, Z.2
  • 16
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • B.B. Mandelbrot J.W. Van Ness Fractional Brownian motions, fractional noises and applications SIAM Rev. 10 1968 422-437
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.