메뉴 건너뛰기




Volumn 7, Issue , 2002, Pages 1-18

On the convergence of stochastic integrals driven by processes converging on account of a homogenization property

Author keywords

Conditions UT and UCV; Good sequence of semimartingales; Homogenization; L vy area; Stochastic differential equations

Indexed keywords


EID: 10644278599     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v7-117     Document Type: Article
Times cited : (11)

References (20)
  • 6
    • 0000114645 scopus 로고
    • The Einstein relation for the displacement of a test particle in a random environment
    • J. L. Lebowitz and H. Rost. The Einstein relation for the displacement of a test particle in a random environment. Stochastic Process. Appl., 54:183-196, 1994.
    • (1994) Stochastic Process. Appl , vol.54 , pp. 183-196
    • Lebowitz, J.L.1    Rost, H.2
  • 7
    • 0035616897 scopus 로고    scopus 로고
    • Homogenization of divergence-form operators with lower-order terms in random media
    • A. Lejay. Homogenization of divergence-form operators with lower-order terms in random media. Probab. Theory Related Fields, 120(2):255-276, 2001. .
    • (2001) Probab. Theory Related Fields , vol.120 , Issue.2 , pp. 255-276
    • Lejay, A.1
  • 8
    • 0035504482 scopus 로고    scopus 로고
    • A probabilistic approach of the homogenization of divergence-form operators in periodic media
    • A. Lejay. A probabilistic approach of the homogenization of divergence-form operators in periodic media. Asymptot. Anal., 28(2):151-162, 2001.
    • (2001) Asymptot. Anal , vol.28 , Issue.2 , pp. 151-162
    • Lejay, A.1
  • 10
    • 85037890090 scopus 로고    scopus 로고
    • On the importance of the Levy area for systems controlled by converging stochastic processes. Application to homogenization
    • A. Lejay and T.J. Lyons. On the importance of the Levy area for systems controlled by converging stochastic processes. Application to homogenization. In preparation, 2002.
    • (2002) Preparation
    • Lejay, A.1    Lyons, T.J.2
  • 11
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • T.J. Lyons. Differential equations driven by rough signals. Rev. Mat. Iberoamericana, 14(2):215-310, 1998.
    • (1998) Rev. Mat. Iberoamericana , vol.14 , Issue.2 , pp. 215-310
    • Lyons, T.J.1
  • 12
    • 0004306406 scopus 로고    scopus 로고
    • Oxford Mathematical Monographs. Oxford University Press
    • T. Lyons and Z. Qian. System Control and Rough Paths. Oxford Mathematical Monographs. Oxford University Press, 2002.
    • (2002) System Control and Rough Paths
    • Lyons, T.1    Qian, Z.2
  • 13
    • 0003718635 scopus 로고
    • Cours de l’Ecole doctorale de l’Ecole Polytechnique (Palaiseau, France)
    • S. Olla. Homogenization of diffusion processes in random fields. Cours de l’Ecole doctorale de l’Ecole Polytechnique (Palaiseau, France), 1994. www.cmap.polytechnique.fr/∼olla/pubolla.html
    • (1994) Homogenization of Diffusion Processes in Random Fields
    • Olla, S.1
  • 14
    • 0001573698 scopus 로고    scopus 로고
    • Homogenization of linear and semilinear second order PDEs with periodic coefficients: A probabilistic approach
    • E. Pardoux. Homogenization of linear and semilinear second order PDEs with periodic coefficients: a probabilistic approach. J. Funct. Anal., 167(2):498-520, 1999. DOl:10.1006/jfan.1999.3441.
    • (1999) J. Funct. Anal , vol.167 , Issue.2 , pp. 498-520
    • Pardoux, E.1
  • 15
    • 0009407827 scopus 로고    scopus 로고
    • Averaging of backward SDEs, with application to semilinear PDEs
    • E. Pardoux and A.Y. Veretennikov. Averaging of backward SDEs, with application to semilinear PDEs. Stochastics, 60(3-4):255-270, 1997.
    • (1997) Stochastics , vol.60 , Issue.3-4 , pp. 255-270
    • Pardoux, E.1    Veretennikov, A.Y.2
  • 16
    • 0035565829 scopus 로고    scopus 로고
    • On Poisson equation and diffusion approximation I
    • E. Pardoux and A.Y. Veretennikov. On Poisson equation and diffusion approximation I. Ann. Probab., 29(3):1061-1085, 2001.
    • (2001) Ann. Probab , vol.29 , Issue.3 , pp. 1061-1085
    • Pardoux, E.1    Veretennikov, A.Y.2
  • 17
    • 10644245307 scopus 로고    scopus 로고
    • On poisson equation and diffusion approximation II
    • E. Pardoux and A.Y. Veretennikov. On poisson equation and diffusion approximation II. To appear in Ann. Probab., 2002.
    • (2002) Ann. Probab
    • Pardoux, E.1    Veretennikov, A.Y.2
  • 18
    • 0040970045 scopus 로고
    • Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions
    • R.G. Pinsky. Second order elliptic operators with periodic coefficients: criticality theory, perturbations, and positive harmonic functions. J. Funct. Anal., 129(1):80-107, 1995.
    • (1995) J. Funct. Anal , vol.129 , Issue.1 , pp. 80-107
    • Pinsky, R.G.1
  • 20
    • 10644259026 scopus 로고    scopus 로고
    • Weak convergence of stochastic integrals
    • I. Szyszkowski. Weak convergence of stochastic integrals. Theory of Probab. App., 41(4):810-814, 1997.
    • (1997) Theory of Probab. App , vol.41 , Issue.4 , pp. 810-814
    • Szyszkowski, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.