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Volumn 27, Issue 5, 2006, Pages 1328-1338

Convergence of trajectories in fractal interpolation of stochastic processes

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; CHAOS THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INTERPOLATION; LINEAR CONTROL SYSTEMS; RANDOM PROCESSES; SOLITONS; TRAJECTORIES;

EID: 24944490387     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.05.009     Document Type: Article
Times cited : (5)

References (23)
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    • Barnsley, M.1
  • 5
    • 0002354550 scopus 로고
    • The calculus of fractal interpolation functions
    • M. Barnsley, and A. Harrington The calculus of fractal interpolation functions J Approx Theory 57 1989 14 34
    • (1989) J Approx Theory , vol.57 , pp. 14-34
    • Barnsley, M.1    Harrington, A.2
  • 6
    • 0002036251 scopus 로고
    • Hölder exponents and box dimension for self-affine fractal functions
    • T. Bedford Hölder exponents and box dimension for self-affine fractal functions Constr Approx 5 1989 33 48
    • (1989) Constr Approx , vol.5 , pp. 33-48
    • Bedford, T.1
  • 10
    • 0346690770 scopus 로고    scopus 로고
    • Box dimension of interpolations of self-similar processes with stationary increments
    • I. Herburt Box dimension of interpolations of self-similar processes with stationary increments Probab Math Statist 21 2001 171 178
    • (2001) Probab Math Statist , vol.21 , pp. 171-178
    • Herburt, I.1
  • 11
    • 0347321301 scopus 로고    scopus 로고
    • On convergence of box dimensions of fractal interpolation stochastic processes
    • I. Herburt, and R. Małysz On convergence of box dimensions of fractal interpolation stochastic processes Demonstratio Math 4 2000 873 888
    • (2000) Demonstratio Math , vol.4 , pp. 873-888
    • Herburt, I.1    Małysz, R.2
  • 12
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • J. Hutchinson Fractals and self-similarity Indiana Univ J Math 30 1981 713 747
    • (1981) Indiana Univ J Math , vol.30 , pp. 713-747
    • Hutchinson, J.1
  • 15
    • 0035568622 scopus 로고    scopus 로고
    • A generalization of fractal interpolation stochastic processes to higher dimension
    • R. Małysz A generalization of fractal interpolation stochastic processes to higher dimension Fractals 9 2001 415 428
    • (2001) Fractals , vol.9 , pp. 415-428
    • Małysz, R.1
  • 17
    • 0001101797 scopus 로고    scopus 로고
    • Smooth interpolating curves and surfaces generated by iterated function systems
    • B. Mandelbrot Smooth interpolating curves and surfaces generated by iterated function systems Z Anal 12 1997 201 210
    • (1997) Z Anal , vol.12 , pp. 201-210
    • Mandelbrot, B.1
  • 19
    • 21844523956 scopus 로고
    • Small values of Gaussian processes and functional laws of the iterated logarithm
    • D. Monrad, and H. Rootzen Small values of Gaussian processes and functional laws of the iterated logarithm Probab Theory Relat Fields 101 1995 173 192
    • (1995) Probab Theory Relat Fields , vol.101 , pp. 173-192
    • Monrad, D.1    Rootzen, H.2
  • 20
    • 0000285811 scopus 로고
    • Moment inequalities and the strong low of large numbers
    • F. Moricz Moment inequalities and the strong low of large numbers Z Wahrsch Verw Gebiete 35 1976 299 314
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  • 22
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  • 23
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    • Dimension properties of sample paths of self-similar processes
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    • Xiao, Y.1    Lin, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.