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Volumn 361, Issue 6, 2009, Pages 3359-3371

Non-degeneracy of Wiener functionals arising from Rough differential equations

Author keywords

Malliavin Calculus; Rough paths analysis

Indexed keywords


EID: 62549127896     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-09-04677-7     Document Type: Article
Times cited : (51)

References (31)
  • 1
    • 34547179020 scopus 로고    scopus 로고
    • Hoermander's theorem for fractional Brownian motion
    • MR2322701
    • Baudoin, F.; Hairer, M.: Hoermander's theorem for fractional Brownian motion, Probab. Theory Relat. Fields 139 (2007), no. 3-4, 373-395. MR2322701
    • (2007) Probab. Theory Relat. Fields , vol.139 , Issue.3-4 , pp. 373-395
    • Baudoin, F.1    Hairer, M.2
  • 2
    • 33847187368 scopus 로고    scopus 로고
    • A limit theorem for financial markets with inert investors
    • MR2281230 2007i:91062
    • Bayraktar, E.; Horst, U.; Sircar R.: A Limit Theorem for Financial Markets with Inert Investors, Mathematics of Operations Vol 31, 2006 MR2281230 (2007i:91062)
    • (2006) Mathematics of Operations , vol.31
    • Bayraktar, E.1    Horst, U.2    Sircar, R.3
  • 3
    • 34548035033 scopus 로고    scopus 로고
    • Reprint of the 1987 edition, Dover Publications, Inc., Mineola, NY, MR2250060 2007k:60003
    • Bell, D.: The Malliavin Calculus. Reprint of the 1987 edition, Dover Publications, Inc., Mineola, NY, 2006 MR2250060 (2007k:60003)
    • (2006) The Malliavin Calculus
    • Bell, D.1
  • 4
    • 0003203464 scopus 로고
    • Large deviations and the Malliavin calculus
    • Birkhäuser Boston, Inc., Boston, MA, MR755001 86f:58150
    • Bismut, J.-M.: Large deviations and the Malliavin calculus. Progress in Mathematics, 45. Birkhäuser Boston, Inc., Boston, MA, 1984 MR755001 (86f:58150)
    • (1984) Progress in Mathematics , vol.45
    • Bismut, J.-M.1
  • 6
    • 19344371593 scopus 로고    scopus 로고
    • Approximations of the Brownian rough path with applications to stochastic analysis
    • DOI 10.1016/j.anihpb.2004.05.003, PII S0246020304000603
    • Friz, P.; Victoir, N.: Approximations of the Brownian rough path with applications to stochastic analysis. Ann. Inst. H. Poincaré Probab. Statist. 41 (2005), no. 4, 703-724 MR2144230 (2007e:60018) (Pubitemid 40721625)
    • (2005) Annales de l'institut Henri Poincare (B) Probability and Statistics , vol.41 , Issue.4 , pp. 703-724
    • Friz, P.1    Victoir, N.2
  • 7
    • 33747890718 scopus 로고    scopus 로고
    • A note on the notion of geometric rough paths
    • DOI 10.1007/s00440-005-0487-7
    • Friz, P.; Victoir, N.: A note on the notion of geometric rough paths. Probab. Theory Related Fields 136 (2006), no. 3, 395-416 MR2257130 (2007k:60114) (Pubitemid 44290942)
    • (2006) Probability Theory and Related Fields , vol.136 , Issue.3 , pp. 395-416
    • Friz, P.1    Victoir, N.2
  • 9
    • 62549156749 scopus 로고    scopus 로고
    • Multidimensional stochastic processes as Rough paths
    • Cambridge University Press in preparation
    • Friz, P.; Victoir, N.: Multidimensional Stochastic Processes as Rough Paths. Theory and Applications, Cambridge University Press (in preparation)
    • Theory and Applications
    • Friz, P.1    Victoir, N.2
  • 10
    • 33745022624 scopus 로고    scopus 로고
    • No arbitrage with transaction costs with fractional Brownian motion and beyond
    • MR2239592 2007d:91091
    • Guasoni, P.: No Arbitrage with Transaction Costs with Fractional Brownian Motion and Beyond, Mathematical Finance 16 (2006) MR2239592 (2007d:91091)
    • (2006) Mathematical Finance , vol.16
    • Guasoni, P.1
  • 12
    • 17044422110 scopus 로고    scopus 로고
    • Ergodicity of stochastic differential equations driven by fractional brownian motion
    • DOI 10.1214/009117904000000892
    • Hairer, M.: Ergodicity of stochastic differential equations driven by fractional Brownian motion, Ann. Probab. 33 (2005), no 3, pp. 703-758 MR2123208 (2005k:60178) (Pubitemid 40507155)
    • (2005) Annals of Probability , vol.33 , Issue.2 , pp. 703-758
    • Hairer, M.1
  • 13
    • 0000469941 scopus 로고
    • The nonlinear transformation of Gaussian measure on banach space and absolute continuity. I
    • MR687592 84j:60015a
    • Kusuoka, S.: The nonlinear transformation of Gaussian measure on Banach space and absolute continuity. I. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 29 (1982), no. 3, 567-597 MR687592 (84j:60015a)
    • (1982) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.29 , Issue.3 , pp. 567-597
    • Kusuoka, S.1
  • 14
    • 0002053242 scopus 로고
    • Dirichlet forms and diffusion processes on banach space
    • MR657873 83h:60082
    • Kusuoka, S.: Dirichlet forms and diffusion processes on Banach space. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 29-1 (1982) MR657873 (83h:60082)
    • (1982) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.1-29
    • Kusuoka, S.1
  • 15
    • 0010915470 scopus 로고
    • On the regularity of solutions to SDEs. 'Asymptotic problem in probability theory: Wiener functionals and asymptotics'
    • ed. K. D. Elworthy and N. Ikeda, Longman Scientific & Technica, MR1354163 97a:60078
    • Kusuoka, S.: On the regularity of solutions to SDEs. 'Asymptotic problem in probability theory: Wiener functionals and asymptotics', ed. K. D. Elworthy and N. Ikeda, Pitman Res. Notes Math. Ser., 284, pp. 90-106, Longman Scientific & Technica, 1993 MR1354163 (97a:60078)
    • (1993) Pitman Res. Notes Math. Ser. , vol.284 , pp. 90-106
    • Kusuoka, S.1
  • 17
    • 0001021705 scopus 로고
    • Applications of the Malliavin Calculus III
    • MR914028 89c:60093
    • Kusuoka, S.; Stroock, D.: Applications of the Malliavin calculus III. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 2, 391-442 MR914028 (89c:60093)
    • (1987) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.34 , Issue.2 , pp. 391-442
    • Kusuoka, S.1    Stroock, D.2
  • 18
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • Lyons, T.: Differential equations driven by rough signals, Rev. Mat. Iberoamericana 14 (1998), no. 2, 215-310 MR1654527 (2000c:60089) (Pubitemid 128142192)
    • (1998) Revista Matematica Iberoamericana , vol.14 , Issue.2 , pp. 215-310
    • Lyons, T.J.1
  • 20
    • 0038930852 scopus 로고    scopus 로고
    • Flow of diffeomorphisms induced by a geometric multiplicative functional
    • Lyons, T.; Qian, Z.: Flow of diffeomorphisms induced by a geometric multiplicative functional. Probab. Theory Related Fields 112 (1998), no. 1, 91-119 MR1646428 (99k:60153) (Pubitemid 128381673)
    • (1998) Probability Theory and Related Fields , vol.112 , Issue.1 , pp. 91-119
    • Lyons, T.1    Qian, Z.2
  • 23
    • 0004032216 scopus 로고
    • Academic Press, New York-London, MR0247684 40:947
    • McKean, H. P.: Stochastic Integrals, Academic Press, New York-London (1969). MR0247684 (40:947)
    • (1969) Stochastic Integrals
    • McKean, H.P.1
  • 24
    • 0004035123 scopus 로고    scopus 로고
    • Second edition. Probability and its Applications New York, Springer-Verlag, Berlin, MR2200233 2006j:60004
    • Nualart, D.: The Malliavin calculus and related topics. Second edition. Probability and its Applications (New York), Springer-Verlag, Berlin, 2006 MR2200233 (2006j:60004)
    • (2006) The Malliavin Calculus and Related Topics
    • Nualart, D.1
  • 27
    • 77950571191 scopus 로고
    • On a characterization of the Sobolev spaces over an abstract Wiener space
    • MR777244 86j:60135
    • Sugita, H.: On a characterization of the Sobolev spaces over an abstract Wiener Space. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 25-1 (1985) 31-48 MR777244 (86j:60135)
    • (1985) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.1-25 , pp. 31-48
    • Sugita, H.1
  • 28
    • 69549140994 scopus 로고    scopus 로고
    • Stochastic analysis. Translated from the 1998 Japanese original by the author
    • Iwanami Series in Modern Mathematics. American Mathematical Society, Providence, RI, MR2060917 2005k:60002
    • Shigekawa, I.: Stochastic analysis. Translated from the 1998 Japanese original by the author. Translations of Mathematical Monographs, 224. Iwanami Series in Modern Mathematics. American Mathematical Society, Providence, RI, 2004 MR2060917 (2005k:60002)
    • (2004) Translations of Mathematical Monographs , vol.224
    • Shigekawa, I.1
  • 29
    • 57849119406 scopus 로고    scopus 로고
    • Multidimensional extension of L. C. Young's inequality
    • Article 22, electronic, MR1906391 2003c:26035
    • Towghi, Nasser: Multidimensional extension of L. C. Young's inequality. JIPAM. J. Inequal. Pure Appl. Math., 3 (2) : Article 22, 13 pp. (electronic), 2002 MR1906391 (2003c:26035)
    • (2002) JIPAM. J. Inequal. Pure Appl. Math. , vol.3 , Issue.2 , pp. 13
    • Towghi, N.1
  • 31
    • 0000821514 scopus 로고
    • An inequality of hölder type, connected with stielties integration
    • MR1555421
    • Young, L. C.: An inequality of Hölder type, connected with Stielties integration, Acta Math. 67, 251-282, 1936 MR1555421
    • (1936) Acta Math. , vol.67 , pp. 251-282
    • Young, L.C.1


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