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Volumn 121, Issue 1, 1996, Pages 11-40

On the magnification of cantor sets and their limit models

Author keywords

Cantor sets; Fractals; Scaling; Scenery

Indexed keywords


EID: 0002776302     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01299636     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 0002154661 scopus 로고
    • Applications of dynamical systems theory to fractal sets
    • Fractal Geometry and Analysis, Université de Montréal, Amsterdam: Kluwer
    • BEDFORD, T.: Applications of dynamical systems theory to fractal sets. In: Fractal Geometry and Analysis, Université de Montréal, NATO ASI Series. Amsterdam: Kluwer. (1991).
    • (1991) NATO ASI Series
    • Bedford, T.1
  • 2
    • 84963056917 scopus 로고
    • Analogues of the Lebesgue density theorem for fractal sets of reals and integers
    • BEDFORD, T., FISHER, A. M.: Analogues of the Lebesgue density theorem for fractal sets of reals and integers. Proc. London Math. Soc. (3) 64, 95-124 (1992).
    • (1992) Proc. London Math. Soc. (3) , vol.64 , pp. 95-124
    • Bedford, T.1    Fisher, A.M.2
  • 4
    • 0031512985 scopus 로고    scopus 로고
    • Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets
    • BEDFORD, T., FISHER, A.M.: Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets, (to appear in Ergodic Thry. Dynam. Syst.).
    • Ergodic Thry. Dynam. Syst.
    • Bedford, T.1    Fisher, A.M.2
  • 6
    • 0000746944 scopus 로고
    • Stieltjes integration and stochastic calculus with respect to self-affine functions
    • BEDFORD, T., KAMAE, T.: Stieltjes integration and stochastic calculus with respect to self-affine functions. Japan Jour. Indust. Appl. Math. 8, 445-459 (1991).
    • (1991) Japan Jour. Indust. Appl. Math. , vol.8 , pp. 445-459
    • Bedford, T.1    Kamae, T.2
  • 7
    • 0042013829 scopus 로고
    • An embedding theorem for the Fell topology
    • BEER, G.: An embedding theorem for the Fell topology. Michigan Math. J. 3-9 (1988).
    • (1988) Michigan Math. J. , vol.3-9
    • Beer, G.1
  • 8
  • 9
    • 0010246688 scopus 로고
    • Integer cantor sets and an order-two ergodic theorem
    • FISHER, A. M.: Integer cantor sets and an order-two ergodic theorem. Ergodic Thry. Dynam. Syst. 13, 45-64 (1993).
    • (1993) Ergodic Thry. Dynam. Syst. , vol.13 , pp. 45-64
    • Fisher, A.M.1
  • 10
    • 84959612827 scopus 로고
    • A pathwise central limit theorem for random walks
    • FISHER, A. M.: A pathwise central limit theorem for random walks. Ann. Prob. (1991).
    • (1991) Ann. Prob.
    • Fisher, A.M.1
  • 12
    • 0001068309 scopus 로고
    • A class of deterministic self-affine processes
    • KAMAE, T., KEANE, M.: A class of deterministic self-affine processes. Japan Jour. Appl. Math. 7, 183-195 (1990).
    • (1990) Japan Jour. Appl. Math. , vol.7 , pp. 183-195
    • Kamae, T.1    Keane, M.2
  • 13
    • 34249963080 scopus 로고
    • Similarity between the Mandelbrot set and Julia sets
    • LEI, TAN, Similarity between the Mandelbrot set and Julia sets. Comm. Math. Phys., 134, 587-617 (1990).
    • (1990) Comm. Math. Phys. , vol.134 , pp. 587-617
    • Lei, T.A.N.1
  • 16
    • 0003236748 scopus 로고
    • Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual cantor sets
    • Proceedings of the Herman Weyl Symposium, Duke University
    • SULLIVAN, D.: Differentiable structures on fractal-like sets, determined by intrinsic scaling functions on dual cantor sets. In: Proceedings of the Herman Weyl Symposium, Duke University. Proc. Sympos. Pure Math., 48 (1988).
    • (1988) Proc. Sympos. Pure Math. , vol.48
    • Sullivan, D.1
  • 17
    • 0039605191 scopus 로고
    • Fractals and Hyperspaces
    • Berlin-Heidelberg-New York: Springer
    • WICKS, K.: Fractals and Hyperspaces. Lect. Notes 1492. Berlin-Heidelberg-New York: Springer 1991.
    • (1991) Lect. Notes 1492
    • Wicks, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.