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Volumn 120, Issue 4, 1996, Pages 709-734

Multifractal dimensions of product measures

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EID: 21444435010     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004100001675     Document Type: Article
Times cited : (37)

References (31)
  • 2
    • 84963043995 scopus 로고
    • The measure of product and cylinder sets
    • A. S. Besicovitch and P. A. P. Moran. The measure of product and cylinder sets. J. Lond. Math. Soc. 20 (1945), 110–120.
    • (1945) J. Lond. Math. Soc. , vol.20 , pp. 110-120
    • Besicovitch, A.S.1    Moran, P.A.P.2
  • 3
    • 44049118235 scopus 로고
    • Multifractal decomposition of Moran fractals
    • R. Cawley and R. D. Mauldin. Multifractal decomposition of Moran fractals. Advances in Mathematics 92 (1992), 196–236.
    • (1992) Advances in Mathematics , vol.92 , pp. 196-236
    • Cawley, R.1    Mauldin, R.D.2
  • 4
    • 84962991716 scopus 로고
    • Multifractal decompositions of digraph recursive fractals
    • G. A. Edgar and R. D. Mauldin. Multifractal decompositions of digraph recursive fractals. Proc. London Math. Soc. 65 (1992), 604–628.
    • (1992) Proc. London Math. Soc. , vol.65 , pp. 604-628
    • Edgar, G.A.1    Mauldin, R.D.2
  • 9
    • 84975964787 scopus 로고
    • On the dimension of product measures
    • H. Haase. On the dimension of product measures. Mathematika 37 (1990), 316–323.
    • (1990) Mathematika , vol.37 , pp. 316-323
    • Haase, H.1
  • 10
    • 3342916075 scopus 로고
    • Fractal measures and their singularities: the characterization of strange sets
    • T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia and B. J. Shraiman. Fractal measures and their singularities: the characterization of strange sets. Phys. Rev. A 33 (1986), 1141–1151.
    • (1986) Phys. Rev. A , vol.33 , pp. 1141-1151
    • Halsey, T.C.1    Jensen, M.H.2    Kadanoff, L.P.3    Procaccia, I.4    Shraiman, B.J.5
  • 11
    • 84984900998 scopus 로고    scopus 로고
    • On Hausdorff and packing dimension of product spaces
    • J. 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.1
  • 12
    • 84976041921 scopus 로고
    • Fractal properties of products and projections of measures in R
    • X. Hu and S. J. Taylor. Fractal properties of products and projections of measures in R. Math. Proc. Camb. Phil. Soc. 115 (1994), 527–544.
    • (1994) Math. Proc. Camb. Phil. Soc. , vol.115 , pp. 527-544
    • Hu, X.1    Taylor, S.J.2
  • 13
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • J. Hutchinson. Fractals and self-similarity. Indiana Univ. Math. J. 30 (1981), 713–747.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.1
  • 15
    • 0000921510 scopus 로고
    • Singularity spectrum for recurrent IFS attractors
    • J. King and J. S. Geronimo. Singularity spectrum for recurrent IFS attractors. Nonlinearity 6 (1992), 337–348.
    • (1992) Nonlinearity , vol.6 , pp. 337-348
    • King, J.1    Geronimo, J.S.2
  • 16
    • 0008998845 scopus 로고
    • The dimension spectrum of the maximal measure
    • A. O. Lopes. The dimension spectrum of the maximal measure. SIAM jour. Math. Anal. 20 (1989), 1243–1254.
    • (1989) SIAM jour. Math. Anal. , vol.20 , pp. 1243-1254
    • Lopes, A.O.1
  • 17
    • 38249016198 scopus 로고
    • Dimension spectra and a mathematical model for phase transition
    • A. O. Lopes. Dimension spectra and a mathematical model for phase transition. Adv. Appl. Math. 1 (1990), 475–502.
    • (1990) Adv. Appl. Math. , vol.1 , pp. 475-502
    • Lopes, A.O.1
  • 19
    • 0013167960 scopus 로고
    • The dimension of Cartesian product sets
    • J. M. Marstrand. The dimension of Cartesian product sets. Proc. Lond. Math. Soc. 50 (1954), 198–206.
    • (1954) Proc. Lond. Math. Soc. , vol.50 , pp. 198-206
    • Marstrand, J.M.1
  • 21
    • 85027614017 scopus 로고
    • A multifractal formalism
    • L. Olsen. A multifractal formalism. Advances in Mathematics, 116 (1995), 82–196.
    • (1995) Advances in Mathematics , vol.116 , pp. 82-196
    • Olsen, L.1
  • 22
    • 0003344201 scopus 로고
    • Random geometrically graph directed self-similar multifractals
    • Longman
    • L. Olsen. Random geometrically graph directed self-similar multifractals. Pitman Research Notes in Mathematics Series, Vol. 307 (Longman, 1994).
    • (1994) Pitman Research Notes in Mathematics Series , vol.307
    • Olsen, L.1
  • 25
    • 84974252535 scopus 로고
    • The singularity spectrum f(a) for cookie-cutters
    • D. Rand. The singularity spectrum f(a) for cookie-cutters. Ergodic Theory and Dynamical Systems 9 (1989), 527–541.
    • (1989) Ergodic Theory and Dynamical Systems , vol.9 , pp. 527-541
    • Rand, D.1
  • 30
    • 84966224394 scopus 로고
    • Packing measure, and its evaluation for a Brownian path
    • S. J. Taylor and C. Tricot. Packing measure, and its evaluation for a Brownian path. Trans. Amer. Math. Soc. 288 (1985), 679–699.
    • (1985) Trans. Amer. Math. Soc. , vol.288 , pp. 679-699
    • Taylor, S.J.1    Tricot, C.2
  • 31
    • 84971877468 scopus 로고
    • Two definitions of fractional dimension
    • C. Tricot. Two definitions of fractional dimension. Math. Proc. Camb. Phil. Soc. 91 (1982), 57–74.
    • (1982) Math. Proc. Camb. Phil. Soc. , vol.91 , pp. 57-74
    • Tricot, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.