메뉴 건너뛰기




Volumn 1021, Issue , 2008, Pages 34-45

Intersection local times of fractional Brownian motions with H∈(0,1) as generalized white noise functionals

Author keywords

Fractional Brownian motion; Fractional white noise analysis; Local time

Indexed keywords


EID: 49149105985     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2956798     Document Type: Conference Paper
Times cited : (12)

References (21)
  • 1
    • 0037361234 scopus 로고    scopus 로고
    • An Itô formula for generalized functionals of a fractional Brownian motion with, arbitrary Hurst parameter
    • C. Bender. An Itô formula for generalized functionals of a fractional Brownian motion with, arbitrary Hurst parameter. Stochastic Processes Appl., 104:81-106, 2003.
    • (2003) Stochastic Processes Appl , vol.104 , pp. 81-106
    • Bender, C.1
  • 4
    • 0006347046 scopus 로고    scopus 로고
    • Intersection local times as generalized white noise functionals
    • M. de Faria, T. Hida, L. Streit, and H. Watanabe. Intersection local times as generalized white noise functionals. Acta Appl. Math., 46:351-362, 1997.
    • (1997) Acta Appl. Math , vol.46 , pp. 351-362
    • de Faria, M.1    Hida, T.2    Streit, L.3    Watanabe, H.4
  • 5
    • 0346332490 scopus 로고    scopus 로고
    • Generalized covariations, local time and Stratonovich Itô's formula for fractional Brownian motion with Hurst index H ≥ 1/4
    • M. Gradinaru, F. Russo, and P. Vallois. Generalized covariations, local time and Stratonovich Itô's formula for fractional Brownian motion with Hurst index H ≥ 1/4. Ann. Probab., 31(4): 1772-1820, 2003.
    • (2003) Ann. Probab , vol.31 , Issue.4 , pp. 1772-1820
    • Gradinaru, M.1    Russo, F.2    Vallois, P.3
  • 6
    • 0003361448 scopus 로고
    • Analysis of Brownian Functionals
    • of, Carleton University, Ottawa
    • T. Hida. Analysis of Brownian Functionals, volume 13 of Carleton Mathematical Lecture Notes. Carleton University, Ottawa, 1975.
    • (1975) Carleton Mathematical Lecture Notes , vol.13
    • Hida, T.1
  • 8
    • 18844415891 scopus 로고    scopus 로고
    • Renormalized self-intersection local time for fractional Brownian motion
    • Y. Hu and D. Nualart. Renormalized self-intersection local time for fractional Brownian motion. Ann. Probab., 33:948-983, 2005.
    • (2005) Ann. Probab , vol.33 , pp. 948-983
    • Hu, Y.1    Nualart, D.2
  • 9
    • 49149107698 scopus 로고    scopus 로고
    • Regularity of renormalized self-intersection local time for fractional Brownian motion
    • Y. Hu and D. Nualart. Regularity of renormalized self-intersection local time for fractional Brownian motion. Commun. Inf. Syst., 7(1):21-30, 2007.
    • (2007) Commun. Inf. Syst , vol.7 , Issue.1 , pp. 21-30
    • Hu, Y.1    Nualart, D.2
  • 11
    • 0030295443 scopus 로고    scopus 로고
    • Generalized functionals in Gaussian spaces: The characterization theorem, revisited
    • Yu. G. Kondratiev, P. Leukert, J. Potthoff, L. Streit, and W. Westerkamp. Generalized functionals in Gaussian spaces: The characterization theorem, revisited. J. Fund. Anal., 141:301-318, 1996.
    • (1996) J. Fund. Anal , vol.141 , pp. 301-318
    • Kondratiev, Y.G.1    Leukert, P.2    Potthoff, J.3    Streit, L.4    Westerkamp, W.5
  • 15
    • 0003477991 scopus 로고    scopus 로고
    • CRC Press, Boca Raton, New York, London, and Tokyo
    • H. H. Kuo. White Noise Distribution Theory. CRC Press, Boca Raton, New York, London, and Tokyo, 1996.
    • (1996) White Noise Distribution Theory
    • Kuo, H.H.1
  • 16
    • 35549012822 scopus 로고    scopus 로고
    • Intersection local time for two independent fractional Brownian motions
    • D. Nualart and S. Ortiz-Latorre. Intersection local time for two independent fractional Brownian motions. J. Theoret. Probab., 20(4):759-767, 2007.
    • (2007) J. Theoret. Probab , vol.20 , Issue.4 , pp. 759-767
    • Nualart, D.1    Ortiz-Latorre, S.2
  • 17
    • 0003241569 scopus 로고
    • White Noise Calculus and Fock Space
    • of, Springer Verlag, Berlin, Heidelberg, and New York
    • N. Obata. White Noise Calculus and Fock Space, volume 1577 of LNM. Springer Verlag, Berlin, Heidelberg, and New York, 1994.
    • (1994) LNM , vol.1577
    • Obata, N.1
  • 18
    • 0000628868 scopus 로고
    • A characterization of Hida distributions
    • J. Porthoff and L. Streit. A characterization of Hida distributions. J. Funct. Anal., 101:212-229, 1991.
    • (1991) J. Funct. Anal , vol.101 , pp. 212-229
    • Porthoff, J.1    Streit, L.2
  • 19
    • 0034562433 scopus 로고    scopus 로고
    • Integration questions related to fractional Brownian motion
    • V. Pipiras and M. S. Taqqu. Integration questions related to fractional Brownian motion. Probab. Theory Related Fields, 118:251-291, 2000.
    • (2000) Probab. Theory Related Fields , vol.118 , pp. 251-291
    • Pipiras, V.1    Taqqu, M.S.2
  • 20
    • 49149116112 scopus 로고    scopus 로고
    • The renormalization of self intersection local times of fractional Brownian motion
    • A. Rezgui. The renormalization of self intersection local times of fractional Brownian motion. Int. Math. Forum, 2(44):2161-2178, 2007.
    • (2007) Int. Math. Forum , vol.2 , Issue.44 , pp. 2161-2178
    • Rezgui, A.1
  • 21
    • 0002869078 scopus 로고
    • The intersection local time of fractional Brownian motion in the plane
    • J. Rosen. The intersection local time of fractional Brownian motion in the plane. J. Multivar. Anal., 23:37-46, 1987.
    • (1987) J. Multivar. Anal , vol.23 , pp. 37-46
    • Rosen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.