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Volumn 2011, Issue 1, 2011, Pages

Scaling laws for fractional Brownian motion with power-law clock

Author keywords

Diffusion

Indexed keywords


EID: 79751481113     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2011/01/L01001     Document Type: Article
Times cited : (17)

References (23)
  • 1
    • 0000501589 scopus 로고
    • Fractional Brownian botions, fractional noises and applications
    • Mandelbrot B B and Van Ness J W, Fractional Brownian botions, fractional noises and applications, 1968 SIAM Rev. 10 422
    • (1968) SIAM Rev. , vol.10 , pp. 422
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 4
    • 41349104439 scopus 로고    scopus 로고
    • Self-similar Gaussian processes for modeling anomalous diffusion
    • Lim S C and Muniandy S V, Self-similar Gaussian processes for modeling anomalous diffusion, 2002 Phys. Rev. E 66 021114
    • (2002) Phys. Rev. E , vol.66 , pp. 021114
    • Lim, S.C.1    Muniandy, S.V.2
  • 5
    • 70350763863 scopus 로고    scopus 로고
    • Fractional Brownian motion versus the continuous-time random walk: A simple test for subdiffusive dynamics
    • Magdziarz M, Weron A, Burnecki K and Kalfter J, Fractional Brownian motion versus the continuous-time random walk: a simple test for subdiffusive dynamics, 2009 Phys. Rev. Lett. 103 180602
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 180602
    • Magdziarz, M.1    Weron, A.2    Burnecki, K.3    Kalfter, J.4
  • 6
    • 78651235765 scopus 로고    scopus 로고
    • Fractional Brownian motion run with a nonlinear clock
    • O'Malley D and Cushman J H, Fractional Brownian motion run with a nonlinear clock, 2010 Phys. Rev. E 82 032102
    • (2010) Phys. Rev. E , vol.82 , pp. 032102
    • O'Malley, D.1    Cushman, J.H.2
  • 7
    • 33645653794 scopus 로고    scopus 로고
    • Lévy-Brownian motion on finite intervals: Mean first passage time analysis
    • Dybiec B, Gudowska-Nowak E and Hanggi P, Lévy-Brownian motion on finite intervals: mean first passage time analysis, 2006 Phys. Rev. E 73 046104
    • (2006) Phys. Rev. E , vol.73 , pp. 046104
    • Dybiec, B.1    Gudowska-Nowak, E.2    Hanggi, P.3
  • 8
    • 0034227236 scopus 로고    scopus 로고
    • Anomalous diffusion and the first passage time problem
    • Rangarajan G and Ding M, Anomalous diffusion and the first passage time problem, 2000 Phys. Rev. E 62 120
    • (2000) Phys. Rev. E , vol.62 , pp. 120
    • Rangarajan, G.1    Ding, M.2
  • 9
    • 0034605090 scopus 로고    scopus 로고
    • First passage time distribution for anomalous diffusion
    • Rangarajan G and Ding M, First passage time distribution for anomalous diffusion, 2000 Phys. Lett. A 273 322
    • (2000) Phys. Lett. A , vol.273 , pp. 322
    • Rangarajan, G.1    Ding, M.2
  • 10
    • 0033240866 scopus 로고    scopus 로고
    • Maximum of a fractional Brownian motion: Probabilities of small values
    • Molchan G M, Maximum of a fractional Brownian motion: probabilities of small values, 1999 Commun. Math. Phys. 205 97
    • (1999) Commun. Math. Phys. , vol.205 , pp. 97
    • Molchan, G.M.1
  • 11
    • 0034317016 scopus 로고    scopus 로고
    • Mean first passage time for anomalous diffusion
    • Gitterman M, Mean first passage time for anomalous diffusion, 2000 Phys. Rev. E 62 6065
    • (2000) Phys. Rev. E , vol.62 , pp. 6065
    • Gitterman, M.1
  • 12
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • Metzler R and Klafter J, The random walk's guide to anomalous diffusion: a fractional dynamics approach, 2000 Phys. Rep. 339 1
    • (2000) Phys. Rep. , vol.339 , pp. 1
    • Metzler, R.1    Klafter, J.2
  • 13
    • 33644999882 scopus 로고    scopus 로고
    • Random walks with shrinking steps: First-passage characteristics
    • Rador T and Taneri S, Random walks with shrinking steps: first-passage characteristics, 2006 Phys. Rev. E 73 036118
    • (2006) Phys. Rev. E , vol.73 , pp. 036118
    • Rador, T.1    Taneri, S.2
  • 14
    • 37549057952 scopus 로고    scopus 로고
    • Anomalous diffusion with absorbing boundary
    • Kantor Y and Kardar M, Anomalous diffusion with absorbing boundary, 2007 Phys. Rev. E 76 061121
    • (2007) Phys. Rev. E , vol.76 , pp. 061121
    • Kantor, Y.1    Kardar, M.2
  • 15
    • 78651327329 scopus 로고    scopus 로고
    • Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion
    • Hahn M G, Kobayashi K and Umarov S, Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion, 2011 Proc. Am. Math. Soc. 139 691
    • (2011) Proc. Am. Math. Soc. , vol.139 , pp. 691
    • Hahn, M.G.1    Kobayashi, K.2    Umarov, S.3
  • 16
    • 0001518385 scopus 로고
    • Mean first-passage times of Brownian motion and related problems
    • Klein G, Mean first-passage times of Brownian motion and related problems, 1952 Proc. R. Soc. A 211 431
    • (1952) Proc. R. Soc. A , vol.211 , pp. 431
    • Klein, G.1
  • 17
    • 0031280861 scopus 로고    scopus 로고
    • Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient
    • Artale V et al, Dispersion of passive tracers in closed basins: beyond the diffusion coefficient, 1997 Phys. Fluids 9 3162
    • (1997) Phys. Fluids , vol.9 , pp. 3162
    • Artale, V.1
  • 18
    • 0000704565 scopus 로고    scopus 로고
    • Growth of noninfinitesimal perturbations in turbulence
    • Aurell E et al, Growth of noninfinitesimal perturbations in turbulence, 1996 Phys. Rev. Lett. 77 1262
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1262
    • Aurell, E.1
  • 19
    • 0031556902 scopus 로고    scopus 로고
    • Predictability in the large: An extension of the concept of Lyapunov exponent
    • Aurell E et al, Predictability in the large: an extension of the concept of Lyapunov exponent, 1997 J. Phys. A: Math. Gen. 30 1
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 1
    • Aurell, E.1
  • 20
    • 34547152719 scopus 로고    scopus 로고
    • Finite-size Lyapunov exponent for Levy processes
    • Parashar R and Cushman J H, Finite-size Lyapunov exponent for Levy processes, 2007 Phys. Rev. E 76 017201
    • (2007) Phys. Rev. E , vol.76 , pp. 017201
    • Parashar, R.1    Cushman, J.H.2
  • 21
    • 65249178320 scopus 로고    scopus 로고
    • Anomalous diffusion as modeled by a nonstationary extension of Brownian motion
    • Cushman J H, O'Malley D and Park M, Anomalous diffusion as modeled by a nonstationary extension of Brownian motion, 2009 Phys. Rev. E 79 032101
    • (2009) Phys. Rev. E , vol.79 , pp. 032101
    • Cushman, J.H.1    O'Malley, D.2    Park, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.