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Volumn 16, Issue 1, 2003, Pages 87-100

Small Ball Constants and Tight Eigenvalue Asymptotics for Fractional Brownian Motions

Author keywords

Eigen value asymptotics; Fractional Brownian motion; Karhunen Loeve expansion; Small ball probabilities

Indexed keywords


EID: 0037278949     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022226420564     Document Type: Article
Times cited : (36)

References (17)
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  • 8
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    • Li, W. V., and Shao, Q. M. (1999). Small ball estimates for Gaussian processes under Sobolev type norms. J. Theoret. Probab. 12, 699-720.
    • (1999) J. Theoret. Probab. , vol.12 , pp. 699-720
    • Li, W.V.1    Shao, Q.M.2
  • 10
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    • Personal Communications
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    • Li, W.V.1
  • 11
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    • The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions
    • Majda, A. J. (1993). The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions. Phys. Fluids A 5, 1963-1970.
    • (1993) Phys. Fluids A , vol.5 , pp. 1963-1970
    • Majda, A.J.1
  • 12
    • 0000501589 scopus 로고
    • Fractional brownian motions, fractional noises, and applications
    • Mandelbrot, B. B., and Van Ness, J. W. (1968). Fractional brownian motions, fractional noises, and applications. SIAM Rev. 10, 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 13
    • 0033240866 scopus 로고    scopus 로고
    • Maximum of a fractional brownian motion: Probabilities of small values
    • Molchan, G. M. (1999). Maximum of a fractional brownian motion: Probabilities of small values. Comm. Math. Phys. 205, 97-111.
    • (1999) Comm. Math. Phys. , vol.205 , pp. 97-111
    • Molchan, G.M.1
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    • Non-Gaussian invariant measures for the Majda model of decaying turbulent transport
    • Vanden Eijnden, E. (2001). Non-Gaussian invariant measures for the Majda model of decaying turbulent transport. Comm. Pure Appl. Math. 54, 1146-1167.
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 1146-1167
    • Vanden Eijnden, E.1
  • 17
    • 0031092785 scopus 로고    scopus 로고
    • Small Ball Problem via Wavelets for Gaussian Processes
    • Wang, Y. (1997). Small Ball Problem via Wavelets for Gaussian Processes. Stat. Prob. Lett. 32, 133-139.
    • (1997) Stat. Prob. Lett. , vol.32 , pp. 133-139
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.