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Volumn 108, Issue 2, 2003, Pages 203-228

Sample path large deviations for a class of random currents

Author keywords

Abelian covering; Diffusion; Large deviation; Limit theorem; Manifold; Random current; Stochastic line integral; The law of the iterated logarithm

Indexed keywords


EID: 0142119375     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2003.07.003     Document Type: Article
Times cited : (7)

References (21)
  • 1
    • 0001748544 scopus 로고
    • Large deviations and stochastic homogenization
    • Baldi P. Large deviations and stochastic homogenization Ann. Mat. Pura Appl. 151 1988 161-177
    • (1988) Ann. Mat. Pura Appl. , vol.151 , pp. 161-177
    • Baldi, P.1
  • 2
    • 0042894343 scopus 로고
    • Large deviations for diffusion processes with homogenization and applications
    • Baldi P. Large deviations for diffusion processes with homogenization and applications Ann. Probab. 19 1991 509-524
    • (1991) Ann. Probab. , vol.19 , pp. 509-524
    • Baldi, P.1
  • 3
    • 0003208243 scopus 로고    scopus 로고
    • Large deviations techniques and applications
    • 2nd Edition. Springer, New York
    • Dembo, A., Zeitouni, O., 1998. Large deviations techniques and applications. Applications of Mathematics, Vol. 38, 2nd Edition. Springer, New York.
    • (1998) Applications of Mathematics , vol.38
    • Dembo, A.1    Zeitouni, O.2
  • 4
    • 0003087399 scopus 로고
    • Vector measures
    • American Mathematical Society, Providence, RI, USA
    • Diestel, J., Uhl Jr., J.J., 1977. Vector measures. Mathematical Surveys, No. 15. American Mathematical Society, Providence, RI, USA.
    • (1977) Mathematical Surveys , Issue.15
    • Diestel, J.1    Uhl Jr., J.J.2
  • 5
    • 84980178612 scopus 로고
    • Asymptotic evaluation of certain markov process expectations for large time. i
    • Donsker M.D. Varadhan S.R.S. Asymptotic evaluation of certain markov process expectations for large time. i Comm. Pure Appl. Math. 28 1975 1-47
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 1-47
    • Donsker, M.D.1    Varadhan, S.R.S.2
  • 7
    • 84980085544 scopus 로고
    • Asymptotic distributions associated with the laplacian for forms
    • Gaffney M.P. Asymptotic distributions associated with the laplacian for forms Comm. Pure Appl. Math. 11 1958 535-545
    • (1958) Comm. Pure Appl. Math. , vol.11 , pp. 535-545
    • Gaffney, M.P.1
  • 8
    • 0002019542 scopus 로고
    • On large deviations from the invariant measure
    • Gärtner J. On large deviations from the invariant measure Theory Probab. Appl. 22 1977 24-39
    • (1977) Theory Probab. Appl. , vol.22 , pp. 24-39
    • Gärtner, J.1
  • 10
    • 0142046297 scopus 로고
    • Limit theorems for a class of random currents
    • 1985. Itô, K., Ikeda, N. (Eds.), Katata/Kyoto, Academic Press, Boston, MA
    • Ikeda, N., 1985. Limit theorems for a class of random currents. In: Itô, K., Ikeda, N. (Eds.), Probabilistic Methods in Mathematical Physics, Katata/Kyoto, Academic Press, Boston, MA, pp. 181-193 (1987).
    • (1987) Probabilistic Methods in Mathematical Physics , pp. 181-193
    • Ikeda, N.1
  • 11
    • 85008060902 scopus 로고
    • Integral of differential forms along the path of diffusion processes
    • Ikeda N. Manabe S. Integral of differential forms along the path of diffusion processes Publ. Res. Inst. Math. Sci., Kyoto Univ. 15 1979 827-852
    • (1979) Publ. Res. Inst. Math. Sci., Kyoto Univ. , vol.15 , pp. 827-852
    • Ikeda, N.1    Manabe, S.2
  • 12
    • 0142078177 scopus 로고
    • Central limit theorems and random currents
    • Christopeit, N., Helmes, K., Kohlmann, M. (Eds.), Springer, Berlin, Proc. 3rd Bad Honnef Conf. 1985
    • Ikeda, N., Ochi, Y., 1986. Central limit theorems and random currents. In: Christopeit, N., Helmes, K., Kohlmann, M. (Eds.), Proc. 3rd Bad Honnef Conf. 1985. Lecture Notes in Control and Information Sciences, Vol. 78. Springer, Berlin, pp. 195-205.
    • (1986) Lecture Notes in Control and Information Sciences , vol.78 , pp. 195-205
    • Ikeda, N.1    Ochi, Y.2
  • 13
    • 0003537037 scopus 로고
    • Stochastic differential equations and diffusion processes
    • North-Holland Mathematical Library, 2nd Edition. North-Holland Publishing Co., Amsterdam, New York; Kodansha, Ltd., Tokyo
    • Ikeda, N., Watanabe, S., 1989. Stochastic differential equations and diffusion processes. North-Holland Mathematical Library, Vol. 24, 2nd Edition. North-Holland Publishing Co., Amsterdam, New York; Kodansha, Ltd., Tokyo.
    • (1989) , vol.24
    • Ikeda, N.1    Watanabe, S.2
  • 14
    • 0003319856 scopus 로고
    • Foundation of stochastic differential equations in infinite dimensional spaces
    • CBMS-NSF Regional Conference Series in Applied Mathematics SIAM, Philadelphia, PA, 1984
    • Itô, K., 1984. Foundation of stochastic differential equations in infinite dimensional spaces. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 47. SIAM, Philadelphia, PA, 1984.
    • (1984) , vol.47
    • Itô, K.1
  • 15
    • 0039144794 scopus 로고
    • Brownian motion and harmonic functions on covering manifolds. An entropy approach
    • Kaimanovich V.A. Brownian motion and harmonic functions on covering manifolds. An entropy approach Soviet Math. Dokl. 33 3 1986 812-816
    • (1986) Soviet Math. Dokl. , vol.33 , Issue.3 , pp. 812-816
    • Kaimanovich, V.A.1
  • 16
    • 0034348848 scopus 로고    scopus 로고
    • Albanese maps and off diagonal long time asymptotics for the heat kernel
    • Kotani M. Sunada T. Albanese maps and off diagonal long time asymptotics for the heat kernel Comm. Math. Phys. 209 2000 633-670
    • (2000) Comm. Math. Phys. , vol.209 , pp. 633-670
    • Kotani, M.1    Sunada, T.2
  • 17
    • 4243326592 scopus 로고    scopus 로고
    • On large deviations for random currents induced from stochastic line integrals
    • Preprint
    • Kuwada, K., On large deviations for random currents induced from stochastic line integrals. Preprint.
    • Kuwada, K.1
  • 18
    • 84972549381 scopus 로고
    • Stochastic intersection number and homological behavior of diffusion processes on riemannian manifolds
    • Manabe S. Stochastic intersection number and homological behavior of diffusion processes on riemannian manifolds Osaka J. Math. 19 1982 429-454
    • (1982) Osaka J. Math. , vol.19 , pp. 429-454
    • Manabe, S.1
  • 19
    • 84972554042 scopus 로고
    • Large deviation for a class of current-valued processes
    • Manabe S. Large deviation for a class of current-valued processes Osaka J. Math. 29 1992 89-102
    • (1992) Osaka J. Math. , vol.29 , pp. 89-102
    • Manabe, S.1
  • 20
    • 0142014452 scopus 로고
    • Limit theorems for a class of diffusion processes
    • Ochi Y. Limit theorems for a class of diffusion processes Stochastics 15 1985 251-269
    • (1985) Stochastics , vol.15 , pp. 251-269
    • Ochi, Y.1
  • 21
    • 0003194872 scopus 로고
    • Foundations of Differentiable Manifolds and Lie Groups
    • New York, Berlin: Springer
    • Warner F.W. Foundations of Differentiable Manifolds and Lie Groups Graduate Texts in Mathematics Vol. 94 1983 Springer New York, Berlin
    • (1983) Graduate Texts in Mathematics , vol.94
    • Warner, F.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.