메뉴 건너뛰기




Volumn 11, Issue , 2006, Pages 860-892

Curvilinear integrals along enriched paths

Author keywords

Curvilinear integrals; Fractional Brownian motion; H lder continuity; Rough paths; Stochastic differential equations; Stochastic integrals

Indexed keywords


EID: 33749665074     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v11-356     Document Type: Article
Times cited : (96)

References (27)
  • 1
    • 85037898906 scopus 로고    scopus 로고
    • Extending the Wong-Zakai theorem to reversible Markov processes via Levy area
    • (in press)
    • R.F. Bass, B.M. Hambly, T.J. Lyons. Extending the Wong-Zakai theorem to reversible Markov processes via Levy area. J. Euro. Math. Soc. (in press).
    • J. Euro. Math. Soc
    • Bass, R.F.1    Hambly, B.M.2    Lyons, T.J.3
  • 2
    • 0008607529 scopus 로고
    • Variation totale d’une fonction
    • Springer-Verlag
    • M. Bruneau. Variation totale d’une fonction. Lecture Notes in Math., 413, Springer-Verlag (1974).
    • (1974) Lecture Notes in Math , vol.413
    • Bruneau, M.1
  • 3
    • 18744427246 scopus 로고    scopus 로고
    • Stochastic differential equations driven by fractional Brownian motions
    • Serie I
    • L. Coutin, Z. Qian. Stochastic differential equations driven by fractional Brownian motions. C.R. Acad. Sc. Paris, t.331, Serie I, 75-80, (2000).
    • (2000) C.R. Acad. Sc. Paris , vol.331 , pp. 75-80
    • Coutin, L.1    Qian, Z.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. P.T.R.F., t.122, 108-140, (2002).
    • (2002) P.T.R.F., T , vol.122 , pp. 108-140
    • Coutin, L.1    Qian, Z.2
  • 6
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis of the fractional Brownian motion
    • L. Decreusefond, A.S. Ustunel. Stochastic analysis of the fractional Brownian motion. Potential Analysis, 10, 177-214, (1998).
    • (1998) Potential Analysis , vol.10 , pp. 177-214
    • Decreusefond, L.1    Ustunel, A.S.2
  • 9
    • 0033457813 scopus 로고    scopus 로고
    • Fractional Integrals and Brownian Processes
    • D. Feyel, A. de La Pradelle. Fractional Integrals and Brownian Processes. Potential Analysis, vol.10, 273-288, (1999).
    • (1999) Potential Analysis , vol.10 , pp. 273-288
    • Feyel, D.1    De La Pradelle, A.2
  • 10
    • 10644280652 scopus 로고    scopus 로고
    • The fBM Ito formula through analytic continuation
    • Paper no26
    • D. Feyel, A. de La Pradelle. The fBM Ito formula through analytic continuation. Electronic Journal of Probability, Vol. 6, 1-22, Paper no26 (2001).
    • (2001) Electronic Journal of Probability , vol.6 , pp. 1-2
    • Feyel, D.1    De La Pradelle, A.2
  • 18
    • 0036887749 scopus 로고    scopus 로고
    • Large deviations and support theorem for diffusions via rough paths
    • M. Ledoux, Z. Qian, T. Zhang. Large deviations and support theorem for diffusions via rough paths. Stoch. Process. Appl., 102:2, 265-283, (2002).
    • (2002) Stoch. Process. Appl , vol.102 , Issue.2 , pp. 265-283
    • Ledoux, M.1    Qian, Z.2    Zhang, T.3
  • 19
    • 23244461120 scopus 로고    scopus 로고
    • An introduction to rough paths
    • Secture Notes in Maths. Springer, To appear
    • A. Lejay An introduction to rough paths. Sem. Proba. XXXVII, Secture Notes in Maths. Springer (2003). To appear.
    • (2003) Sem. Proba. XXXVII
    • Lejay, A.1
  • 20
    • 0039348870 scopus 로고
    • The interpretation and solution of ordinary differential equations driven by rough signals
    • T.J. Lyons. The interpretation and solution of ordinary differential equations driven by rough signals. Proc. Symp. Pure Math. 57, 115-128, (1995).
    • (1995) Proc. Symp. Pure Math , vol.57 , pp. 115-128
    • Lyons, T.J.1
  • 21
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • T.J. Lyons. Differential equations driven by rough signals. Rev. Math. Iberoamer. 14, 215-310, (1998).
    • (1998) Rev. Math. Iberoamer , vol.14 , pp. 215-310
    • Lyons, T.J.1
  • 22
    • 0039348869 scopus 로고    scopus 로고
    • Calculus for multiplicative functionals, Ito’s formula and differential equations
    • Springer, Tokyo
    • T.J. Lyons, Z. Qian. Calculus for multiplicative functionals, Ito’s formula and differential equations. Ito’s stochastic calculus and Probability theory, 233-250, Springer, Tokyo, (1996).
    • (1996) Ito’s Stochastic Calculus and Probability Theory , pp. 233-250
    • Lyons, T.J.1    Qian, Z.2
  • 23
    • 0031234681 scopus 로고    scopus 로고
    • Flow equations on spaces of rough paths
    • T.J. Lyons, Z. Qian. Flow equations on spaces of rough paths. J. Funct. Anal. 149, 135-159, (1997).
    • (1997) J. Funct. Anal , vol.149 , pp. 135-159
    • Lyons, T.J.1    Qian, Z.2
  • 25
  • 26
    • 0000395295 scopus 로고
    • On the support of diffusion processes with application to the strong maximum principle
    • Univ. Of California Press
    • D.W. Stoock, S.R.S. Varadhan. On the support of diffusion processes with application to the strong maximum principle. Proc. Of the sixth Berkeley symp. Math. Stat. Prob. III, 333-368, Univ. Of California Press (1972).
    • (1972) Proc. Of the Sixth Berkeley Symp. Math. Stat. Prob. III , pp. 333-368
    • Stoock, D.W.1    Varadhan, S.R.S.2
  • 27
    • 0000821514 scopus 로고
    • An inequality of Holder type, connected with Stieltjes integration
    • L.C. Young. An inequality of Holder type, connected with Stieltjes integration. Acta Math. 67, 251-282 (1936).
    • (1936) Acta Math , vol.67 , pp. 251-282
    • Young, L.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.