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Volumn 7, Issue 2, 2007, Pages

Locally self-similar fractional oscillator processes

Author keywords

Fractal dimension; Fractional oscillator process; Local self similarity; Short range dependence

Indexed keywords


EID: 34547313503     PISSN: 02194775     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219477507003817     Document Type: Article
Times cited : (33)

References (27)
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  • 4
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    • The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics
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  • 6
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    • Evolution of fractal patterns during a classical-quantum transition
    • A.P. Micolich et al., Evolution of fractal patterns during a classical-quantum transition, Phys. Rev. Lett. 87 (2001) 036802.
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    • Micolich, A.P.1
  • 7
    • 0000429896 scopus 로고    scopus 로고
    • Short-range plasma model for intermediate spectral statistics
    • E. Bogomolny, U. Gerland and C. Schmit, Short-range plasma model for intermediate spectral statistics," Eur. Phys. J., vol.19 pp. 121-132 (2001).
    • (2001) Eur. Phys. J , vol.19 , pp. 121-132
    • Bogomolny, E.1    Gerland, U.2    Schmit, C.3
  • 8
    • 31944451946 scopus 로고    scopus 로고
    • Fractal motion of electrons with variable weak memory and nonlocality
    • A.V. Popov, Fractal motion of electrons with variable weak memory and nonlocality, Russian Phys. J. 48 (2005) 947-953.
    • (2005) Russian Phys. J , vol.48 , pp. 947-953
    • Popov, A.V.1
  • 9
    • 33746093912 scopus 로고    scopus 로고
    • Fractal conductance fluctuation in electron billiards: A random matrix approach
    • F.A, Pinheiro and C.H. Lewenkopf, Fractal conductance fluctuation in electron billiards: a random matrix approach, Brazilian J. Phys. 36 (2006) 379-382.
    • (2006) Brazilian J. Phys , vol.36 , pp. 379-382
    • Pinheiro, F.A.1    Lewenkopf, C.H.2
  • 18
    • 0037432926 scopus 로고    scopus 로고
    • Generalized Ornstein-Uhlenbeck processes and associated self-similar processes
    • S.C. Lim and S.V. Muniandy, Generalized Ornstein-Uhlenbeck processes and associated self-similar processes, J. Phys. A: Math. Gen. 36 (2003) 3961-3982.
    • (2003) J. Phys. A: Math. Gen , vol.36 , pp. 3961-3982
    • Lim, S.C.1    Muniandy, S.V.2
  • 20
    • 14244255625 scopus 로고    scopus 로고
    • Estimating the fractal dimension of locally self-similar Gaussian process by using increments
    • J.T. Kent and A.T.A. Wood, Estimating the fractal dimension of locally self-similar Gaussian process by using increments, J. R. Stat. Soc. B 59 (1997) 579-599.
    • (1997) J. R. Stat. Soc. B , vol.59 , pp. 579-599
    • Kent, J.T.1    Wood, A.T.A.2
  • 21
    • 33644902936 scopus 로고    scopus 로고
    • A generalized Cauchy process and its application to relaxation phenomena
    • S.C. Lim and Ming Li, A generalized Cauchy process and its application to relaxation phenomena, J. Phys. A: Math. Gen. 39 (2006) 2935-2951.
    • (2006) J. Phys. A: Math. Gen , vol.39 , pp. 2935-2951
    • Lim, S.C.1    Ming, L.2
  • 25
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • B.B. Mandelbrot and J.W.van Ness, Fractional Brownian motions, fractional noises and applications, SIAM Review 10 (1968) 422-437.
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    • Mandelbrot, B.B.1    van Ness, J.W.2
  • 26
    • 0001077786 scopus 로고
    • Asymptotic properties of the fractional Brownian motion of Riemann-Liouville type
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    • (1995) Phys. Lett. A , vol.206 , pp. 311-317
    • Lim, S.C.1    Sithi, V.M.2
  • 27
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    • Fractional derivative quantum fields at positive temperature
    • S.C. Lim, Fractional derivative quantum fields at positive temperature, Physica A 363 (2006) 269-281.
    • (2006) Physica A , vol.363 , pp. 269-281
    • Lim, S.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.