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Volumn 130, Issue 1, 2001, Pages 135-160

Box and packing dimensions of projections and dimension profiles

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EID: 23044523281     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004100004849     Document Type: Article
Times cited : (36)

References (18)
  • 1
    • 0001715022 scopus 로고
    • Strong and weak duality principles for fractal dimension in Euclidean spaces
    • C. D. CUTLER. Strong and weak duality principles for fractal dimension in Euclidean spaces. Math. Proc. Camb. Phil. Soc. 118 (1995), 393-410.
    • (1995) Math. Proc. Camb. Phil. Soc. , vol.118 , pp. 393-410
    • Cutler, C.D.1
  • 2
    • 84972561561 scopus 로고
    • The density theorem and Hausdorff inequality for packing measure in general metric spaces
    • C. D. CUTLER. The density theorem and Hausdorff inequality for packing measure in general metric spaces. Illinois J. Math. 39 (1995), 676-694.
    • (1995) Illinois J. Math. , vol.39 , pp. 676-694
    • Cutler, C.D.1
  • 3
    • 84971877531 scopus 로고
    • Hausdorff dimension and the exceptional set of projections
    • K. J. FALCONER. Hausdorff dimension and the exceptional set of projections. Mathematika 29 (1982), 109-115.
    • (1982) Mathematika , vol.29 , pp. 109-115
    • Falconer, K.J.1
  • 5
    • 21844493529 scopus 로고    scopus 로고
    • Projection theorems for box and packing dimensions
    • K. J. FALCONER and J. D. HOWROYD. Projection theorems for box and packing dimensions, Math. Proc. Camb. Phil. Soc. 119 (1996), 287-295.
    • (1996) Math. Proc. Camb. Phil. Soc. , vol.119 , pp. 287-295
    • Falconer, K.J.1    Howroyd, J.D.2
  • 6
    • 21444454260 scopus 로고    scopus 로고
    • Packing dimensions of projections and dimension profiles
    • K. J. FALCONER and J. D. HOWROYD. Packing dimensions of projections and dimension profiles. Math. Proc. Camb. Phil. Soc. 121 (1997), 269-286.
    • (1997) Math. Proc. Camb. Phil. Soc. , vol.121 , pp. 269-286
    • Falconer, K.J.1    Howroyd, J.D.2
  • 7
    • 21344448576 scopus 로고    scopus 로고
    • The packing dimension of projections and sections of measures
    • K. J. FALCONER and P. MATTILA. The packing dimension of projections and sections of measures. Math. Proc. Camb. Phil. Soc. 119 (1996), 695-713.
    • (1996) Math. Proc. Camb. Phil. Soc. , vol.119 , pp. 695-713
    • Falconer, K.J.1    Mattila, P.2
  • 8
    • 0007015957 scopus 로고    scopus 로고
    • Convolutions and the geometry of multifractal measures
    • K. J. FALCONER and T. C. O'NEIL. Convolutions and the geometry of multifractal measures. Math. Nachr. 204 (1999), 61-82.
    • (1999) Math. Nachr. , vol.204 , pp. 61-82
    • Falconer, K.J.1    O'Neil, T.C.2
  • 9
    • 84974449534 scopus 로고
    • Non-σ-finite sets for packing measure
    • H. HAASE. Non-σ-finite sets for packing measure. Mathematika 33 (1986), 129-136.
    • (1986) Mathematika , vol.33 , pp. 129-136
    • Haase, H.1
  • 10
    • 84984900998 scopus 로고    scopus 로고
    • On Hausdorff and packing dimension of product spaces
    • J. D. HOWROYD. On Hausdorff and packing dimension of product spaces. Math. Proc. Camb. Phil. Soc. 119 (1996), 715-727.
    • (1996) Math. Proc. Camb. Phil. Soc. , vol.119 , pp. 715-727
    • Howroyd, J.D.1
  • 11
    • 0001464903 scopus 로고    scopus 로고
    • How projections affect the dimension spectrum of fractal measures
    • V. Y. HUNT and B. R. KALOSHIN. How projections affect the dimension spectrum of fractal measures. Nonlinearity 10 (1997), 1031-1046.
    • (1997) Nonlinearity , vol.10 , pp. 1031-1046
    • Hunt, V.Y.1    Kaloshin, B.R.2
  • 12
    • 0002051531 scopus 로고
    • On the upper Minkowski dimension, the packing dimension, and orthogonal projections
    • M. JÄRVENPÄÄ. On the upper Minkowski dimension, the packing dimension, and orthogonal projections. Annales Acad. Sci. Fenn. A Dissertat. 99 (1994).
    • (1994) Annales Acad. Sci. Fenn. A Dissertat. , vol.99
    • Järvenpää, M.1
  • 13
    • 0033130560 scopus 로고    scopus 로고
    • Linear mappings and generalised upper spectrum for dimensions
    • E. JÄRVENPÄÄ and M. JÄRVENPÄÄ. Linear mappings and generalised upper spectrum for dimensions. Nonlinearity 12 (1999), 475-493.
    • (1999) Nonlinearity , vol.12 , pp. 475-493
    • Järvenpää, E.1    Järvenpää, M.2
  • 15
    • 84963103615 scopus 로고
    • Some fundamental properties of plane sets of fractional dimension
    • J. M. MARSTRAND. Some fundamental properties of plane sets of fractional dimension. Proc. London Math. Soc. (3) 4 (1954), 257-302.
    • (1954) Proc. London Math. Soc. , vol.4 , Issue.3 , pp. 257-302
    • Marstrand, J.M.1
  • 16
    • 0000367680 scopus 로고
    • Hausdorff dimension, orthogonal projections and intersections with planes
    • P. MATTILA. Hausdorff dimension, orthogonal projections and intersections with planes. Annales Acad. Sci. Fenn. A 1 (1975), 227-244.
    • (1975) Annales Acad. Sci. Fenn. A , vol.1 , pp. 227-244
    • Mattila, P.1
  • 18
    • 21444447771 scopus 로고    scopus 로고
    • Measure and dimension functions: Measurability and densities
    • P. MATTILA and R. D. MAULDIN. Measure and dimension functions: measurability and densities. Math. Proc. Camb. Phil. Soc. 121 (1997), 81-100.
    • (1997) Math. Proc. Camb. Phil. Soc. , vol.121 , pp. 81-100
    • Mattila, P.1    Mauldin, R.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.