메뉴 건너뛰기




Volumn 136, Issue 1, 1998, Pages 26-38

Dimension and Measures for a Curvilinear Sierpinski Gasket or Apollonian Packing

Author keywords

Apollonian packing; Sierpinski gasket; iterated function systems; Hausdorff dimension; Hausdorff and packing measures

Indexed keywords


EID: 0003134626     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1998.1732     Document Type: Article
Times cited : (28)

References (13)
  • 1
    • 84971769273 scopus 로고
    • The residual set dimension of the Apollonian packing
    • Boyd D. W. The residual set dimension of the Apollonian packing. Mathematika. 20:1973;170-174.
    • (1973) Mathematika , vol.20 , pp. 170-174
    • Boyd, D.W.1
  • 4
    • 84963032205 scopus 로고
    • On the Besicovitch dimension of the residual set of arbitrarily packed discs in the plane
    • Larman D. G. On the Besicovitch dimension of the residual set of arbitrarily packed discs in the plane. J. London Math. Soc. 42:1967;292-302.
    • (1967) J. London Math. Soc. , vol.42 , pp. 292-302
    • Larman, D.G.1
  • 5
    • 0003265437 scopus 로고
    • Geometry of sets and measures in euclidean spaces
    • Cambridge Univ. Press, Cambridge
    • P. Mattila, Geometry of sets and measures in euclidean spaces, Cambridge Studies in Advanced Mathematics, 44, Cambridge Univ. Press, Cambridge, 1995.
    • (1995) Cambridge Studies in Advanced Mathematics , vol.44
    • Mattila, P.1
  • 7
    • 33646913445 scopus 로고    scopus 로고
    • Dimensions and measures in infinite iterated function systems
    • Mauldin R. D., Urbański M. Dimensions and measures in infinite iterated function systems. Proc. London Math. Soc. (3). 73:1996;105-154.
    • (1996) Proc. London Math. Soc. (3) , vol.73 , pp. 105-154
    • Mauldin, R.D.1    Urbański, M.2
  • 8
    • 85027227111 scopus 로고    scopus 로고
    • Conformal iterated function systems with applications to the geometry of continued fractions
    • R. D. Mauldin, M. Urbański, Conformal iterated function systems with applications to the geometry of continued fractions, Trans. Amer. Math. Soc.
    • Trans. Amer. Math. Soc.
    • Mauldin, R.D.1    Urbański, M.2
  • 10
    • 0000144097 scopus 로고
    • Entropy, Hausdorff measures old and new, and limit sets of geometrically Kleinian groups
    • Sullivan D. Entropy, Hausdorff measures old and new, and limit sets of geometrically Kleinian groups. Acta Math. 153:1984;259-277.
    • (1984) Acta Math. , vol.153 , pp. 259-277
    • Sullivan, D.1
  • 11
    • 84971179854 scopus 로고
    • A new proof for the residual set dimension of the apollonian packing
    • Tricot C. A new proof for the residual set dimension of the apollonian packing. Math. Proc. Cambridge Philos. Soc. 96:1984;413-423.
    • (1984) Math. Proc. Cambridge Philos. Soc. , vol.96 , pp. 413-423
    • Tricot, C.1
  • 12
    • 84966224394 scopus 로고
    • Packing measure, and its evaluation for a Brownian path
    • Taylor S. J., Tricot C. 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.