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Volumn 204, Issue , 1999, Pages 61-82

Convolutions and the geometry of multifractal measures

Author keywords

Convolutions; Generalized dimensions; Multifractals; Projections; Sections

Indexed keywords


EID: 0007015957     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19992040105     Document Type: Article
Times cited : (34)

References (23)
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  • 5
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    • Packing dimensions of projections and dimension profiles
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    • Falconer, K.J.1    Howroyd, J.D.2
  • 6
    • 21344448576 scopus 로고    scopus 로고
    • The packing dimensions of projections and sections of measures
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    • (1996) Math. Proc. Cambridge Philos. Soc. , vol.119 , pp. 695-713
    • Falconer, K.J.1    Mattila, P.2
  • 7
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    • Generalised dimension of strange attractors
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  • 8
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    • Characterization of strange attractors
    • GRASSBERGER, P., and PROCACCIA, I.: Characterization of Strange Attractors, Phys. Rev. Lett. 50 (1983), 346-349
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    • Grassberger, P.1    Procaccia, I.2
  • 9
    • 0001464903 scopus 로고    scopus 로고
    • How projections affect the dimensions of fractal measures
    • HUNT, V. Y., and KALOSHIN, B. R.: How Projections Affect the Dimensions of Fractal Measures, Nonlinearity 10 (1997), 1031-1046
    • (1997) Nonlinearity , vol.10 , pp. 1031-1046
    • Hunt, V.Y.1    Kaloshin, B.R.2
  • 10
    • 0346372923 scopus 로고
    • The infinite number of generalised dimensions of fractals and strange attractors
    • HENTSCHEL, H., and PROCACCIA, I.: The Infinite Number of Generalised Dimensions of Fractals and Strange Attractors, Physica D 8 (1983), 435-444
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    • Hentschel, H.1    Procaccia, I.2
  • 14
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    • p -spectrum and multifractal formalism
    • C. BANDT, S. GRAF and M. ZÄHLE (eds), Birkhäuser
    • p -Spectrum and Multifractal Formalism. In: Fractal Geometry and Stochastics, C. BANDT, S. GRAF and M. ZÄHLE (eds), pp. 55-90, Birkhäuser, 1995
    • (1995) Fractal Geometry and Stochastics , pp. 55-90
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  • 15
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    • Negative fractal dimensions and multifractals
    • MANDELBROT, B.: Negative Fractal Dimensions and Multifractals, Physica A 163 (1990), 306-315
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    • Mandelbrot, B.1
  • 16
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    • Hausdorff dimension, orthogonal projections and intersections with planes
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  • 18
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  • 20
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    • to appear
    • O'NEIL, T. C.: The Multifractal Spectra of Projected Measures in Euclidean Space, to appear, Chaos, Solitons and Fractals
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  • 22
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.