메뉴 건너뛰기




Volumn 117, Issue 3, 2007, Pages 312-332

Operator scaling stable random fields

Author keywords

Fractional random fields; Operator scaling

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; MATHEMATICAL OPERATORS; STOCHASTIC CONTROL SYSTEMS;

EID: 33846366592     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2006.07.004     Document Type: Article
Times cited : (138)

References (21)
  • 3
    • 4043116925 scopus 로고    scopus 로고
    • Hausdorff dimension of the graph of the fractional Brownian sheet
    • Ayache A. Hausdorff dimension of the graph of the fractional Brownian sheet. Rev. Mat. Iberoamericana 20 2 (2004) 395-412
    • (2004) Rev. Mat. Iberoamericana , vol.20 , Issue.2 , pp. 395-412
    • Ayache, A.1
  • 4
    • 0242489402 scopus 로고    scopus 로고
    • A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series
    • Ayache A., and Roueff F. A Fourier formulation of the Frostman criterion for random graphs and its applications to wavelet series. Appl. Comput. Harmon. Anal. 14 (2003) 75-82
    • (2003) Appl. Comput. Harmon. Anal. , vol.14 , pp. 75-82
    • Ayache, A.1    Roueff, F.2
  • 5
    • 23944466359 scopus 로고    scopus 로고
    • Asymptotic properties and Hausdorff dimensions of fractional Brownian sheet
    • Ayache A., and Xiao Y. Asymptotic properties and Hausdorff dimensions of fractional Brownian sheet. J. Fourier Anal. Appl. 11 4 (2005) 407-439
    • (2005) J. Fourier Anal. Appl. , vol.11 , Issue.4 , pp. 407-439
    • Ayache, A.1    Xiao, Y.2
  • 6
    • 0038391299 scopus 로고    scopus 로고
    • Local self-similarity and the Hausdorff dimension
    • Benassi A., Cohen S., and Istas J. Local self-similarity and the Hausdorff dimension. C. R. Acad. Sci. Paris Ser. I 336 3 (2003) 267-272
    • (2003) C. R. Acad. Sci. Paris Ser. I , vol.336 , Issue.3 , pp. 267-272
    • Benassi, A.1    Cohen, S.2    Istas, J.3
  • 7
    • 33644799586 scopus 로고    scopus 로고
    • Aquifer operator-scaling and the effect on solute mixing and dispersion
    • Benson D., Meerschaert M.M., Bäumer B., and Scheffler H.P. Aquifer operator-scaling and the effect on solute mixing and dispersion. Water Resour. Res. 42 W01415 (2006) 1-18
    • (2006) Water Resour. Res. , vol.42 , Issue.W01415 , pp. 1-18
    • Benson, D.1    Meerschaert, M.M.2    Bäumer, B.3    Scheffler, H.P.4
  • 8
    • 0041350470 scopus 로고    scopus 로고
    • Anisotropic analysis of some Gaussian models
    • Bonami A., and Estrade A. Anisotropic analysis of some Gaussian models. J. Fourier Anal. Appl. 9 (2003) 215-236
    • (2003) J. Fourier Anal. Appl. , vol.9 , pp. 215-236
    • Bonami, A.1    Estrade, A.2
  • 9
    • 0031333281 scopus 로고    scopus 로고
    • Analyzing exact fractal time series: Evaluating dispersion analysis and rescaled range methods
    • Caccia D.C., Percival D., Cannon M.J., Raymond G., and Bassingthwaighte J.B. Analyzing exact fractal time series: Evaluating dispersion analysis and rescaled range methods. Physica A 246 (1997) 609-632
    • (1997) Physica A , vol.246 , pp. 609-632
    • Caccia, D.C.1    Percival, D.2    Cannon, M.J.3    Raymond, G.4    Bassingthwaighte, J.B.5
  • 13
    • 33846397218 scopus 로고    scopus 로고
    • E. Herbin, From N parameter fractional Brownian motions to N parameter multifractional Brownian motions. Available at: http://arxiv.org/abs/math/0503182, 2002 (preprint)
  • 17
    • 33846360435 scopus 로고    scopus 로고
    • L. Ponson, D. Bonamy, H. Auradou, G. Mourot, S. Morel, E. Bouchaud, C. Guillot, J.P. Hulin, Anisotropic self-affine properties of experimental fracture surfaces. Available at: http://arxiv.org/PS ̇cache/cond-mat/pdf/0601/0601086.pdf, 2006 (Preprint)
  • 19
    • 0037490225 scopus 로고    scopus 로고
    • Multiscaling fractional advection-dispersion equations and their solutions
    • Schumer R., Benson D.A., Meerschaert M.M., and Baeumer B. Multiscaling fractional advection-dispersion equations and their solutions. Water Resour. Res. 39 (2003) 1022-1032
    • (2003) Water Resour. Res. , vol.39 , pp. 1022-1032
    • Schumer, R.1    Benson, D.A.2    Meerschaert, M.M.3    Baeumer, B.4
  • 20
    • 0001872307 scopus 로고    scopus 로고
    • Self-similarity and heavy tails: Structural modeling of network traffic
    • Adler R., Feldman R., and Taqqu M.S. (Eds), Birkhäuser, Boston
    • Willinger W., Paxson V., and Taqqu M.S. Self-similarity and heavy tails: Structural modeling of network traffic. In: Adler R., Feldman R., and Taqqu M.S. (Eds). A Practical Guide to Heavy Tails: Statistical Techniques and Applications (1998), Birkhäuser, Boston 27-53
    • (1998) A Practical Guide to Heavy Tails: Statistical Techniques and Applications , pp. 27-53
    • Willinger, W.1    Paxson, V.2    Taqqu, M.S.3
  • 21
    • 0035981340 scopus 로고    scopus 로고
    • Local times of fractional Brownian sheets
    • Xiao Y., and Zhang T. Local times of fractional Brownian sheets. Probab. Theory Related Fields 124 (2002) 204-226
    • (2002) Probab. Theory Related Fields , vol.124 , pp. 204-226
    • Xiao, Y.1    Zhang, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.